{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "ekgAnalysis.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "8XAIEsDNXgUl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from matplotlib import pyplot as plt\n",
        "import matplotlib\n",
        "import pandas\n",
        "import numpy as np\n",
        "from scipy.fftpack import fft"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vDQwCrBXXqRH",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "ekgDF = pandas.read_csv('ekg.csv')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2SZsuVCKXpSm",
        "colab_type": "code",
        "outputId": "f4d1fca1-3518-4031-b329-ba25ccddbc5a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        }
      },
      "source": [
        "print ('Sampling frequency is: ')\n",
        "samplingFreq = 1/(ekgDF['Time (s)'][22]-ekgDF['Time (s)'][21])\n",
        "print (samplingFreq)\n",
        "ekgDF\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Sampling frequency is: \n",
            "3999.9999999986644\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Time (s)</th>\n",
              "      <th>Channel 1 (V)</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>-1.12925</td>\n",
              "      <td>-0.015717</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>-1.12900</td>\n",
              "      <td>-0.013341</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>-1.12875</td>\n",
              "      <td>-0.015038</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>-1.12850</td>\n",
              "      <td>-0.012662</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>-1.12825</td>\n",
              "      <td>-0.015378</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7995</th>\n",
              "      <td>0.86950</td>\n",
              "      <td>-0.019451</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7996</th>\n",
              "      <td>0.86975</td>\n",
              "      <td>-0.021828</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7997</th>\n",
              "      <td>0.87000</td>\n",
              "      <td>-0.018093</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7998</th>\n",
              "      <td>0.87025</td>\n",
              "      <td>-0.018093</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7999</th>\n",
              "      <td>0.87050</td>\n",
              "      <td>-0.013680</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>8000 rows × 2 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "      Time (s)  Channel 1 (V)\n",
              "0     -1.12925      -0.015717\n",
              "1     -1.12900      -0.013341\n",
              "2     -1.12875      -0.015038\n",
              "3     -1.12850      -0.012662\n",
              "4     -1.12825      -0.015378\n",
              "...        ...            ...\n",
              "7995   0.86950      -0.019451\n",
              "7996   0.86975      -0.021828\n",
              "7997   0.87000      -0.018093\n",
              "7998   0.87025      -0.018093\n",
              "7999   0.87050      -0.013680\n",
              "\n",
              "[8000 rows x 2 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0Ne60XU6ZPQN",
        "colab_type": "code",
        "outputId": "d8cdc061-d9a2-42e4-d65a-4eff8e774005",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        }
      },
      "source": [
        "# Time Domain Signal\n",
        "matplotlib.rc('figure', figsize=(15, 8))\n",
        "plt.plot(ekgDF['Time (s)'],ekgDF['Channel 1 (V)'])\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffbb327ca90>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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N9qJRHxKAfcyVZJpACgJKtVGPAA9ooJc++dDsa0q5gMnXj606afZuuhNohgAPaB0X0IXG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            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1i5Zza9eZkmU",
        "colab_type": "code",
        "outputId": "f9960776-89ab-4109-d800-a4d1411f08ff",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 967
        }
      },
      "source": [
        "# Frequency Domain\n",
        "# FFT len is half size of the signal len\n",
        "# Because of nyquist theorem only half of the sampling frequency can be seen in the sprectrum\n",
        "ekgData = ekgDF['Channel 1 (V)'].values\n",
        "fftData = np.abs( fft(ekgData) )\n",
        "fftLen = int(len(fftData) / 2)\n",
        "freqs = np.linspace(0,samplingFreq/2, fftLen )\n",
        "\n",
        "matplotlib.rc('figure', figsize=(20, 8))\n",
        "\n",
        "plt.figure()\n",
        "plt.plot( freqs, fftData[0:fftLen] )\n",
        "plt.figure()\n",
        "\n",
        "plt.plot( freqs[0:400], fftData[0:400] )"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffbb1517390>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Fog/0+OiTJA9t3ZsPfO2+Iz7e4Ggjdzy2J3tH23Hkl//55rz8GSsP2ub7/vvX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\nAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AkSD4WVOaLH7O3TqnYWI0SMxK61g+8Mk73+vXxvzET/fzAFbX7vgpP0bHDwAA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\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yX4L09W5ZqWU",
        "colab_type": "code",
        "outputId": "7754628c-d512-42cb-e665-3d2fcc2429a3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 517
        }
      },
      "source": [
        "\n",
        "## Design IIR filter\n",
        "from scipy import signal\n",
        "sos = signal.iirfilter(17, [49, 51], rs=60, btype='bandstop',\n",
        "                        analog=False, ftype='cheby2', fs=4000,\n",
        "                        output='sos')\n",
        "w, h = signal.sosfreqz(sos, 2000, fs=2000)\n",
        "fig = plt.figure()\n",
        "ax = fig.add_subplot(1, 1, 1)\n",
        "ax.semilogx(w, 20 * np.log10(np.maximum(abs(h), 1e-5)))\n",
        "ax.set_title('Chebyshev Type II bandpass frequency response')\n",
        "ax.set_xlabel('Frequency [Hz]')\n",
        "ax.set_ylabel('Amplitude [dB]')\n",
        "ax.axis((10, 1000, -100, 10))\n",
        "ax.grid(which='both', axis='both')\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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GZ7bW3rHag6vqV45wPbCtLC7UzGMad+3QaQQAYHimtjZaa2eu9eBZ7gNHs1nH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\njoS6caxgAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VbzFHuaTgDU-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "## filter out 50 Hz noise\n",
        "ekgFiltered = signal.sosfilt(sos, ekgData)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tHIRdZGJhm83",
        "colab_type": "code",
        "outputId": "4614e108-30dc-483c-9358-61fc7d6777aa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        }
      },
      "source": [
        "# Time Domain Signal\n",
        "matplotlib.rc('figure', figsize=(15, 8))\n",
        "plt.plot(ekgDF['Time (s)'],ekgFiltered)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffbb2df05f8>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 18
        },
        {
          "output_type": "display_data",
          "data": {
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9OkDXsY26aBoyeEDeuQ7YfQ0yeMR3iCPAA3Im7WLw+o//nl556pFcBAJdqFFW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\nfvJNZ03oWF904mE6bv4MfeKNZ7T0+LpS5Eqp539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u6vr6qMzMdq/ttde9995tcAFjA8Ym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\nRK5CYII=\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "USij8hw2iTVI",
        "colab_type": "code",
        "outputId": "fca34fd4-3c71-4b2b-a3fb-3419c4967249",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 967
        }
      },
      "source": [
        "# Frequency Domain\n",
        "# FFT len is half size of the signal len\n",
        "# Because of nyquist theorem only half of the sampling frequency can be seen in the sprectrum\n",
        "fftData = np.abs( fft(ekgFiltered) )\n",
        "fftLen = int(len(fftData) / 2)\n",
        "freqs = np.linspace(0,samplingFreq/2, fftLen )\n",
        "\n",
        "matplotlib.rc('figure', figsize=(15, 8))\n",
        "\n",
        "plt.figure()\n",
        "plt.plot( freqs, fftData[0:fftLen] )\n",
        "plt.figure()\n",
        "\n",
        "plt.plot( freqs[0:400], fftData[0:400] )"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffba38ac860>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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fWC1J+vbfnT3q59jRG9Ohjl7Nqjy8t/VYtXZFtae5S2dOKx31tgAAgL/0Dabq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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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HAAAA4Ow5zj1n/42k7zfGfEHuDNpPnsxburd8W+NyhSDHb2tkrREAAABAl2zxU2rW2t+Q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KKCXFVnGAa/vXgKLl6xHVtrrHj8iqmYkRGL331YgeWlmYgzqHHLwhw88vExqBUsnrl2JmZmxiIU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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PYnD3RDplMxn",
        "colab_type": "code",
        "outputId": "4d7fe97d-179b-445b-be90-782a78c71410",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 517
        }
      },
      "source": [
        "## Design IIR filter\n",
        "sos2 = signal.iirfilter(17, [0.5, 200], rs=60, btype='bandpass',\n",
        "                        analog=False, ftype='cheby2', fs=4000,\n",
        "                        output='sos')\n",
        "w, h = signal.sosfreqz(sos2, 2000, fs=2000)\n",
        "fig = plt.figure()\n",
        "ax = fig.add_subplot(1, 1, 1)\n",
        "ax.semilogx(w, 20 * np.log10(np.maximum(abs(h), 1e-5)))\n",
        "ax.set_title('Chebyshev Type II bandpass frequency response')\n",
        "ax.set_xlabel('Frequency [Hz]')\n",
        "ax.set_ylabel('Amplitude [dB]')\n",
        "ax.axis((10, 1000, -100, 10))\n",
        "ax.grid(which='both', axis='both')\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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GAAAAAEBMhEYAAAAAQEyERgAAAABATIRGAAAAAEBMhEYAAAAAQEyERgAAAABATIRGAAAA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\nVQwaiYiIiIiIqKr/Ax696Gx/oD7DAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gJMI920cnMrg",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "## filter out 50 Hz noise\n",
        "ekgFiltered2 = signal.sosfilt(sos2, ekgFiltered)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KS798eqMnr_5",
        "colab_type": "code",
        "outputId": "707045be-6fc6-4e20-f09a-9cc0cd772028",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        }
      },
      "source": [
        "# Time Domain Signal\n",
        "matplotlib.rc('figure', figsize=(15, 8))\n",
        "plt.plot(ekgDF['Time (s)'],ekgFiltered2)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffba3293be0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ERUKIIoB3ALixz8/9AYCfEUKsDZqr/EzwNiI6Ta4ng257/mXOhgxE6RbvoulxUUeUO452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i8b0s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\nilO4AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "n000ewesosXn",
        "colab_type": "text"
      },
      "source": [
        "![](http://www.ni.com/cms/images/devzone/tut/2007-07-09_141618.jpg)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cZbupjPjn-Gd",
        "colab_type": "code",
        "outputId": "985e6690-7036-41bc-e8c1-42d14dc17bf2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        }
      },
      "source": [
        "def moving_average(x, w):\n",
        "    return np.convolve(x, np.ones(w), 'same') / w\n",
        "\n",
        "# Time Domain Signal\n",
        "matplotlib.rc('figure', figsize=(15, 8))\n",
        "plt.plot(ekgDF['Time (s)'],moving_average(ekgFiltered2, 100))\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ffba326b748>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 23
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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zuQgVMMo4mMEjqn52evCs7+vsvSFyJT2ZKjhADTCHrPDeTiYGeEQuYD3c+W30\n4HnZiE3kCHYDPI/KIStEbqXZLNHksCWajwEekQsUX6LJmwBRtdNsDllhVp7IvQrtwrR4VcFMPqUx\nwCNyAbsn/QDgVVjOReQEdjPz7Kslci89KW1OyOYUTcpggEfkAloxaxJUTtoicgLbJZocslIVAlG9\n0pdALqQl7GXwVIUZPMpggEfkAnEzwKvzqgVfqyoKT/uJHMDu8CSPorCvtsIeOzmOK/+/h/Clh05V\n+lLIZTSbi8697MWleRjgEblATE8CKGLICm8CRFUvvd/STokms/IVdc8z55BMSXz7wHlIyX8XVD52\ne/A8Kks0KYMBHpELFJPB4zJUImfQrdLrglM0+WBXScGYjqf6JtHW4MVkSMPp8VClL4lcpLhF58zk\nk4EBHpELFJPB83BnFpEjFNeDx/d0pZwcDUJPSvzprbsAAM/0TVb4ishN9IT9ISspCaR42ENggEfk\nCsVk8FiiSeQM9nvwmJWvpJNjQQDAG/Z0YVN7A545M1XhKyI30WyXaBqfE7y/E8AAj8gVisrgcSAD\nkSOke/AKPNx5WaJZUadGg2j0qVjfVo/rtnfgmTNTGJqNVvqyyCXiehJ1XnslmgCYzScADPCIXMHK\n4NkdssKlyETVz+76E5W9NxV1ciyIXeuaIYTAr1yxHjE9iTd+6XEMzkQqfWnkAvFECn6PnQnZzOBR\nBgM8IheI6Ul4FAGPrUZsrkkgcgK7PXgsu64cKSVOjgaxu7sZAHDttg78+MOvRVRP4rsHBwAAA9MR\nHB4MVPIyycFietLm4a3xGpZrE8AAj8gV4omUrf47gCPViZxCt9mDp7IHr2ImQxpmIjp2r2tOf+2i\n3lZcs7UDDxwZBQD89r8dxFv/z1OYi3EROhUvnkjBb6dEU2WJJmUwwCNygXjC3gkfYJzy6bwBEFU9\nze4UTb6nK+bkqDFgxcrgWW7d143T4yEcGQqgz1ybcOjc9KpfHzlbIplCIiVtlWime/B42ENggEfk\nCjHdfgaPp/3VQUqJQIQn+pSbnjDep4V2YHkVgSRLNCvCmqC5a93CAO+Wvd0AgE/dezT9tdNj3I9H\nxbEOeewOUAPAzwICwACPyBWMJmy7GTz261RCKiVxoH8KES0BAPjSQ6dw5WcewpEh9uZQdnoyBY8i\noCiFSjQVHtpUyKnRIDoafVjb5F/w9U0dDdjV3YQXzs+gtd6LtgYv+ifCFbpKcqq4XkSAZ5Zocs8t\nAQzwiFwhpifht9uDxzUJFXHPs+fw7rufw3vvfg6jgRi+8mgfkimJh4+PVfrSqErpyVT6oS0f49CG\n7+lKODIcwJ6e5qzfe+O+dSRSXFAAACAASURBVACA2y7qxs6uJvRPMoNHxUlPyLZxf7cyeDzAJYAB\nHpErFJPB45CVyvjBi0MAgCPDc7j2s4/AugcfHZ6r4FVRNYsnUgXLMwG+pytlJBDF0eE5XL6xLev3\n/+DG7fjEL+/FX9y+Bzu6mnF6PAQp+e+J7LN23NrZg6eyB4/m8VT6Aoho+eyOUQY4ZGU1jQdjODIU\nwMW9rTg8FMBf3L4b12ztwNceP4MrNq3BoXPTGJjmrizKTkum4LM1XEFhWdYq+MGLg7h0Qxt2dDXh\n1cFZ/OpXn4EQmX67xZr8HvzuDdsAADu7mvCfER1TYW1JOSdRLpkdt4U/B7ycoknzMMAjcoF4IoW2\neq+t13o4ZGVVpFISv/4vB3B6PJSesPfa7Wtx2cY23P2b+wEAn743hgNnpyGlhBCFS/Gotmg2M/Me\nDllZcUeGAvjT772CBp+KVz/1RnztiX7Ue1Xcc+fVuGLTmoJ/fmd3EwDg1FiQAR7ZFk8YGTx7PXgs\n0aQMlmgSuUC8iAyeR1WQSEmWCq2wlwdncdocj25N2ruot2XBaza2NyAUT2A6rK369VH105Opgjvw\nAGtNAt/PK8lacRDRkviPAxfw4JFRvPuqjbjSRnAHADu7jEMea60CkR3FZPC4JoHmY4BH5ALFLDr3\nWjcBPhCuqIeOjUFVBB798xuxZ10z/sdb9qVPWC2b2hsAABdYpklZaIkUfDYzeByctLL6JkJo8nuw\nvq0en7r3KFJS4v3Xbrb957tb/NjYXo+n+yZX8CrJbdJTNO0sOldYokkZDPCIXKDYDB7AU76VJKXE\ng0dGcc3Wdmxd24gHPvI63Hn91iWv29LBAI9ysx3gqQIpaZQF08roGw9hZ3cTPv6mPWiu8+DDN+3A\nlrWNtv+8EAJv2N2Fp/om06tSiAqxhqwUsyaB93YCGOARuUJUT9rP4Fm7cnjKt2KODM2hfzKMt17W\nm/d1G80M3vkpBni0lJZMwWtniiaz8ivuzEQYOzqb8NbLenH407fhT9+4u+if8cuX9iKmp/APj/Th\nDV94DD99dRgAMDYXY8k8ZVVciSYXnVNGWQI8IcTtQoiTQog+IcTHs3zfL4T4rvn9A0KILebXbxVC\nvCCEOGz+3zeU43qIak1ES6LBby/A4yjllfejl4fgVQXefHFP3tfVeVX0tNbh7GQY33n+Ap5h+RbN\no9lek2ANV+ChzUoIxxOYCMaLythlc9WWNdjU3oB/fvwM+ifD+PuHT+PRE+O45n8+grsePl2mqyU3\nsYasFLMmgRN1CShDgCeEUAF8BcCbAOwD8F4hxL5FL7sTwIyUcgeAuwB8zvz6JIC3SikvAfABAN9a\n7vUQ1ZpkSiKeSKHBa28oLh8GV1YyJfGTV4Zx4+4utDYUnmy6uaMBP3xpCB//wWG87+sHOISB0ow1\nCczgVZpVQm31zJZKCIHfMPv2Nnc0oG88hL/8wWEAwA9fGlzeRZIrFbcmgVM0KaMcGbyrAfRJKful\nlBqA7wC4Y9Fr7gBwj/nr7wO4WQghpJQvSSmHza8fBVAvhOD8YKIiWP0cjTYzeF5m8FbUixdmMB6M\n447L85dnWq7e0g4AuGR9K+q9Kr759NmVvDxyENsZPL6nV8TzZ6fx2fuPpw9dNncsL8ADgN+9YSt+\n8Wevx3998JcAAKNzMTT6VAxMRxGI6sv++eQuUa2ERecM8AjlCfDWAxiY9/tB82tZXyOlTAAIAOhY\n9Jp3AHhRShnP9pcIIX5fCHFICHFoYmKiDJdN5A4R8wZQ77MX4HHIyso60D8FALh+x1pbr7/z+m34\n45t34usf2I/bLurGz4+NcVgGATBKrewNWWFWvtxSKYkPfftFfO3xfnz8B68CADa3L69EEzCyeNs6\nm9DVUoeb93Shuc6DT7zFKHo6Nxle9s8nd7EOcBt8hSt00ovOWaJJqJIhK0KIi2CUbX4w12uklHdL\nKfdLKfd3dnau3sURVTkrwGu0cQMAOGRlpb08MIudXU1oa/DZen1rgxd/cusudLfU4fW7OzEd1nBk\nOLDCV0lOYHeKppfT88ru+OgcJoLGeXNMT6Gr2W+r5LoYX33/lXjqY2/AVVuMXXr9k6Gy/nxyvrCW\nhFcVRR708HOAyhPgDQHYOO/3G8yvZX2NEMIDoBXAlPn7DQB+COA3pZRnynA9RDUlHDdO+Gxn8BRm\n8FbS4Ey05FKuG3Z2Qgjg8ZOsUiAjwLMzRVPle7rs+ieMbNoX33UZ/B4F77tmU9n/Dr9HRWu9FxvW\nmOtSpqJl/zvI2aJaEvU2J2SzVJvmK0eAdxDATiHEViGED8B7ANy76DX3whiiAgDvBPALKaUUQrQB\n+BmAj0spny7DtRDVnKheXAbP2pXDSVsrYyQQQ09rfUl/dm2TH5esb8Vjpxjgkf0hK+kMHrPyZWMN\nVrn94nV4+ZNvxB/fvHPF/q46r4ruFj8GZrguhRYKxxNo9Nu8t5sBXpKfA4QyBHhmT92HATwI4DiA\n70kpjwoh/lYI8TbzZd8A0CGE6APwpwCsVQofBrADwCeFEC+b/+ta7jUR1ZJiM3iZh0Ge8pVbREsg\nENXR01ZX8s+4cVcnXrowgwEuP6959oessDSr3AamI1jb5EOj34N6nwohxIr+fRvXNGCQAR4tEtGS\naCiyOkdnBo9Qph48KeV9UspdUsrtUsq/M7/2SSnlveavY1LKd0kpd0gpr5ZS9ptf/4yUslFKefm8\n/42X45qIaoU1ZcvuFM1MiSZP+cpteDYGAOgtMYMHAO+5ehN8HgV/9cPDXH5c4+xm8Lj/qvwuTEew\ncZlrEYqxsb0BA9Ms0aSFIloRGTzVyuDxvkFVMmSFiEoXNgM8+3vwrIdB3gTKbSRgPKD1tJaewett\nq8fHbt+DJ09P4uC5mXJdGjmQ3Qyelw92ZXdhOrLsvXfF2LimHiOBKIN0WiBcRA9e+qCHJZoEBnhE\njhe1xigXm8HjTaDsRqwMXlvpGTwA+LX9G+FVBR45MVaOyyIHSiRTSEkUmcFjgFcOejKF4dnoqgZ4\nG9obkJKZzxAioLgMnpcrkGgeBnhEDpfO4Nneg8cevJUyHIhCCKC7pfQMHgA0+j3Ys64Fhwe5LqFW\nWcGavSErxmuYwSuPkdkYUhKrW6JpTtLkoBWar5gePPOch/d2AsAAj8jxIloSQgB1HptDVjhSfcWM\nzMawtslv66G8kIvXt+LIUIB9eDVKSxgZdjtrEjLj0ZmVLwdrguaqlmi2G1l/DldaeVoilV4gXu0i\n8aTtCdlCCHhVwc8BAsAAj8jxIvEE6r0qFMXelLd0Bo83gbIbDkSX1X83377eFszFEhgOsGSrFsWT\nRmbe3oJjq/eGhwHlUIkAr6e1Hh5F4K6HT+Gxk5w1t5Le9y/P4c1ffhIpB7xfwlrC9oRswGjBYCaf\nAAZ4RI4X0ZNosHnCB2QGMvBhsPyMHXjlCfD2rmsGAJwYmSvLzyNnsTJ4/iLWJHD/VXmcmwrD51GW\nXWpdDFURuGVvN8bm4rjznkOYDMVX7e+uJUOzURw6P4NzUxH0TYQqfTl5SSkR0ZK2J2QDRjafvbgE\nMMAjcrxIPGG7Rh/gmoSVIqXEyGy05CXni+2yArzRYFl+HjmL9ZDm9RTOzHMybnn1T4SxtaMxPbxm\ntXzx1y7DNz6wH8mUxI9eGlrVv7tWPH16Mv3rU2PV/dka1pJIpiTa6n22/4xHFTzoIQAM8Igcr5gm\nbGB+iSYfBstpNqIjrCXLNpihpc6L9W31OMkAryZZGTyfWvi97WFfbVmdHg9i69rGVf97G/0e3Ly3\nG1dsasN3Dw6w/3YFPHZqHHVe4/0yNFPdewdnIxoAoLXea/vPqIrC6hwCwACPyPGKDfCsoQ3clVNe\ng+bDwoY15cngAcCedc04McoSzVqUGbJiP4PH1SfLc2J0Du/652dwfiqC12xeU7HreNdrNuL0eAhP\n9U0u+Z6UEr84MYZARK/AlTmTlkjhL77/CvZ/5mHcd3gUb79iPVrqPBiarfYAz/h33NpgP8DjkBWy\nMMAjcrhwEXtygPkT93jKV07WeHNr3Hk57F7XjP6JcPphn2pHLGEMWamzseSYk3HL466HTuHguRns\nWdeMOy7vrdh13HF5L7atbcSffPdlHB0O4N1fexafvf84AOCZM1P4nX87hLd/9WnEzf9GKL+fvDKM\n7x0axFVb1uBTb92H//GWfVi/piF9KFetAlEjwGsrKoMnuCaBADDAI3K8YCyB5roiAjwrg8dTvrIa\nNAO89eXM4PW0IJGSOFPlwwCo/GK6/QBPZQZv2VIpiWf6pvDeqzfhgY+8Dl2rOGBlsUa/B3f/5msQ\njCXwy//wFA6cncbXHu/H0eEA/t8LgwCA/skwLv+bh/B/nz1Xset0iufPTqOtwYuv/vqV+O3XbkWD\nz4ONa+rTn9nVygrwisvgKTzoIQAM8IgcLxjT0ey3fwNIZ/B4yldWgzNRtNR5iuqXKGSPOWjl50fH\ncNtdT+CfHz9Ttp9N1S2mG8Ga1S+Uj5fv6WUbmIkgGE/gkvWtlb4UAMCOrmZ89Lbd8KoCH3/THtR7\nVXz10TO4/8go3nv1Jnz5PZdje1cjPvOz45y4WcCxkTlcsr4VQmTKnTe1N+DCdKSq+xytEs2ihqwo\ngmsSCAADPKIFfvLKMP7X/SccVcNefAbPuMnxJlBegzNRbChjeSYAbF3biEafirsePoWTY0F84cGT\nCMedsaCXlqeoDB7LrpfNmla7r7elwleS8bs3bMPRv7kdf/D67fjVK9fjZ4dHENWT+NUr1+OOy9fj\nC++6DFoihfsOj1T6Uqva2NzS9TWbOhoQ01OYqOLgeDZqDFlpKyKDpyqC1TkEgAEeUdpcTMcf/edL\n+OfHz+C+I6OVvhxb9GQKES2J5roiSjgUlmiuhIHpCDa2l688EzDKbd5z9SYAwFsv60UiJfHk6Ymy\n/h1UndIBnsfGFE2z7JoZvNJZExVXc7m5Hdai+99+7Vb4PAou3dCK/eYAmD3rWrCzqwkPOOR+VQnJ\nlMRkKI6u5oUBntUrPTBdvWWagagOn0exdchj8apcdE4GBnhEpiODgfSvf3F8rIJXYl8oZmRzisng\nKYqAInjaX05SyhXJ4AHAX795Lw781c2469cuQ1uDFz8/5oz/Nml5YokiSjTTq094aFOq4dko6rwK\n1hSRLVlNO7qa8Nif34hv/961C0oNX7+rE4fOz6QPBGihqXAcKQl0tfgXfN1aZ3N+qooDvIhe1IAV\nwMzgMcAjMMAjSrOWnl63vQNP9U0i5YAPyWAJAR5gnPhzTUL5TIY0RPVkWVckWBRFoLulDh5VwRt2\nd+GR4+N8kK8BcfOB3V9MiaYDPrOq1XAgit62+gXBU7XpbatH06KJya/duRZaIoUXzs9U6Kqq2/ic\nUYLZ1bwwwNvU3oB6r4qXB2YrcVm2zEb0osozAeOwh4vOCWCAR5R2ciyEtgYv3n7FekyGNDx+egKf\n+ekxjAdjlb60nOZiRhN2MSWagDGUgRm85fvZqyP43XsO4eiwkf1d6eXIt128DoGojpu++Bhu+dLj\nCMa4C8utMj14doascE3Ccg3NxrC+rfwHNCvtyk1GueYrg9UbqFTSRNAI8DoXlWj6PAqu296Bh4+N\nVW1J42xUK3pol9GDV53//9DqYoBHZDo9FsSurmbcsLMTAPDb3zyIrz91Fl9++HSFryw3K4PXUkIG\nj1mg5fv8gyfw8PExfPUxY7rl9s6mFf37bt3bjVv2dmMsEEffeAg/eYXDFdwqpqcgBOBTC9+m02XX\nPLkv2fBsFL2tzgvwWuu92LCmHseG5yp9KVXJOqBdnMEDgF+9cgOGAzE8UaV9zdNhDe2N9idoAtaa\nBH4OEAM8IgBGD9XJsSB2rWvCuta69Hh6AHi6b7KCV5ZfsNQMnso6/XKYM/cUPX92Gj6Pgt4VzgAo\nisDXP7AfJz9zOzqb/Xj+7NSK/n1UOTE9iTqPartk0KMoPLkvUTyRxEQwvuLv35VyUW8LA7wc0iWa\nLUsDvFv3daOlzoMHDlfnkJqpkIaOpqXXnY/KNQlkKu7Yn8ilxubiCMYS2NVtBHb/+ltX4dD5GfRP\nhPDlR04joiXQ4Ku+t0t6T06Rdfoehad8yxWI6JiJZEokt3c2pXuhVpoQAlduasMr8wYDkbvEEklb\n5ZkWD3tvSjYaMLI8vW2VW26+HHt7WvDzY2OIaknU++xPXKwF48E42hq88GeZRuvzKLhsYxsOD1Xf\n52gyJTET0dBRZAaPBz1kYQaPCMBJc8CKFeD1ttXjbZf1Ys+6FkgJ9I2HKnl5OVk7fNYWecrnUdmD\nt1xnp8IAgNsvWgcAeM3mtlX9+/f1tOLcVJh78VwqpqeKGo/uYe9NyYZmjRUJTuzBA4Dd3c1VfZ+q\npPFgLGt5pmVfbwtOjwerLus1G9GQkig6wDOGrFTX/y9UGQzwiGD03wGZAM+yucPalRNd9WuyYzIU\nR6NPLfrU1sNRyst2btII8D5y60587h2X4KNv3LOqf/++XuPwwVrQTO4S05PFBXjcf1WykVkjg9fj\n0ABvl9lSYB1UUsZ4cOkOvPm2dDRCT0qMBKrrHj8dNpact5dQoskJ2QQwwCMCAJwcDWJtk39JQ/N6\nc+z94Ex17sqZDGlYm+d0MhfjYZA3geU4OxmGEMbkzHdftQmtq7w/a19vCwDg2Ah7b9wopqfg9xRR\noqkIDlkpkfVw39PqzBLNze0N8KlK+qCSMsbn4nkzeNZi+wtVtg9vygzw1pYwZIUHPQQwwCMCABwe\nCmBvT/OSr7fUedFa78VAlQZ4o4EouvOcTubCcq7lOzsZxvq2+qy9Hauht7UOrfVeDldwqXiiuH4q\nr8rem1INB2Job/QVlTGtJh5VwfauJmbwFkmlJMaDMXTnCdytAO/8dHXd46dCVgavuABP5QokMjHA\no5o3NhfDidEgXrtjbdbvb1hTj8GZ6irfsJydDJe0e42jlJev1H/25SKEwL6eFmbwXMqaomkXp+eV\nbmQ26tjsnWVXdxNOj7EHb77piAY9KdGdJ4PX21YPrypwvsoyeNNho7+++DUJAjrv7QQGeER4/JSx\nA+f1uzqzfr9aA7wLUxFMhjTsyZJ5LMSjCiT4MFiyZEri1FhwSc/matvb04KTo3N8sHehiJZEQxEZ\nPA8f7Eo2Eoihx4E78Obb1d2ModkoHj05jus++wieOp19vc/nHziBT/zoMKR0/2fG2JzRW9ndkjt4\nVxWB9W31GKiyDN6klcFrKD6Dx/sBAQzwiPD4qQl0NfsX7L6bb+OaBgzORKruhvj5B0/Aqwrcsre7\n6D/rVRQ+DC5D/0QI8UQKu3P8N7NartzchpiewqMnxit6HVR+4XgCjX77q1k8LM0q2Ugg5tgVCRbr\nsOmvf3AYw4EY/u2Zc0teE4zp+OpjZ/Dvz13AqRrI9mV24OX/d7uxvQGDs9V1iDsd1tDW4IVHLe4x\n3cN7O5kY4FFNS6Uknjo9iRt2duZcKLxhTT1iegoTwfgqX11uR4YC+OmrI/jwTTux0ewhKAbXJJRO\nSomvPNoHIZCzrHe13HbROmxb24hP3XsUIa5LcJVQPIlGfzFrEhRm5UswF9MRiOqOXXJu2dXdBMDo\nJwSA589OIbXov4eXLsymf/3ihZnVu7gKGTH/WawrUH67YU09hqqsz34qHC96RQJgHPQwg0cAAzyq\ncWenwghEdVyzrT3na7Z2GjfOs+ZY/Gpw/5ERqIrAb/zS5pL+vFdVoPGUryRP903hRy8P47+/YWfF\n92Z5VQWff+elGJqN4p4sJ/bkXBEtgUaf/QyeV+UUzVL0Txif69vNz3mn2rimAapiHFK+e/9GzMUS\neP7cNP7jwPn0rsxD5zNBXf+E+zN456fC8KkK1hXI4G1Y04DJkIaollylKytsKqSho7G0CdlcgUQA\nAzyqcUeGAgCAS9a35nzNNnOQRjUFeM/1T+PyjW1FN2BbfB4FWoIPg6V44vQEfB4Ff3jT9kpfCgBg\n/5Z27N+8Bj9+eajSl0JlkkpJRLRkUSWanJ5XGms5+PbOyg1MKgdFEfj6B/bjk2/Zhw/dtAMA8J67\nn8Nf//AIPnv/cQDAi+dnsLenBbu7m3F2sroyViuhfzKMzR2ZwDeXDeY6pKHZ6vlnMh3W0FHkBE2A\ni84pgwEe1bRhc8Htpjxljr1t9fB5FPRXSYCnJVI4PBTAlZvaSv4ZPg8zeKUanIlgQwXXI2Tzpkt6\ncGosVHWDAqg0Yc3IuBRVoqkqzOCV4MTIHHwepaRS92pz0+4u/M71W7GxvR5r5u3l/P4LgxgPxvDS\nhRns37wGW9Y24Oyk+zN4/RMhW5OOrQBvYLp6+vCmwlpJB7jWkJVqmxlAq48BHtW08WAMTX5P3pNy\nVRHY0tGAM+PVcUM8PjIHLZHCFZvWlPwz/CozeKUamoli/Zrq6te53uwFfLZ/qsJXQuUQMUvFisng\nedlXW5KD52dw+YY2eIscZlHNhBD4u7dfgrdfsR4//tBrEdNT+Nj3X0VYS+LabR3YsrYRA9NRV2d6\nZiMa+ifDeatzLBvWGMH9YJX04enJFGYiGjqaii/RtP47Zj8uuecTjagE48E4uvLsyLFc3NuKlwdm\nq+JU7MiwUVZ66YbCN65cWKJZusGZaPrEt1rs6m7C2iYfnj3DAM8NrIE5TUWVaHLISrEiWgJHhwK4\namvph2XV6s2X9OCud1+Oyza24cbdnXj05AS8qsB12zuwtaMRWjKF4SqbHFlOB8/NQErgmm0dBV/b\n2eSHT1WqZh3SRDAOKVGwdzAbqxyVhz3EAI9q2vhcDF0thQO8q7a2YyqsVUWZ5oXpCHyqgt5l7G1i\niWZpoloSU2EtfeJbLYQQuHZbB549M1UVhxC0PJG4kcFrKGbIisIhK8U6OjyHREriNZvdF+DN97dv\nuxg37FyLT771Iqxp9GGLWbZ4bqry97OVcqB/Cj6PYusgVFEE1lfRvtvROWv6ZwlDVswAT+dnQc1j\ngEc1zcjgFT4lu2qLMWXz+bPTK31JBQ1OGyWCSoHG8Xx8LNEsidWEX+npmdlcs60Do3OxquojodIE\n4zqAYnvwWKJZrKPmkK2LekuvhnCCTR0N+Nad1+A3rjWmLlt9aeeq4MBypTx/bhpXbGxDndfee2jD\nmvqqKdEcCxRe0J6LFeAl+VlQ8xjgEQDgwlQEv3vPQfzopcwkvkBEr6qxweUmpcTYXMxWieb2zkZ0\nNPpwsAoCvIGZyLJLBFmiWRrrhLfaSjQB4NqtxiHEc2dZpul0sxEjwCtmyAL34BXv2Mgc1jb5bN0D\n3KSr2Y96r+raSZqheAJHhgK4Zmvu9UeLbVjTUH0ZvFICPLMHjxk8YoBHAIC/+clRPHx8HH/5g8OI\naknE9CRu+/sn8I5/esa1JV/BeAIxPWXrlEwIgau2tOOFKlgOOzAdyTv10w6fx3gYXLwIl/LLBHjV\nVaIJADu6mtDe6KuKLDMtz3RYAwC0NxQR4KkCCZZdF+Xo8Bz29rRAiNKrIZxICIHNHQ3od+kkzcOD\nAaQkcEURpbcb1tRjKqwhYk6wraTRuRh8qlLSFE2vambweG+veQzwCIGIjsdPTeDi9S2I6kk8f24a\nx0bmMDoXw7GRORw8NwM9mYLusoeHcfOUzE4PHgDsWteMC9MRxBOVy2oGYzpmIvqyR3r7PMZbn314\nxRmajcKriqo88TcOIdYwwHOBGTPAaysiwFMVAZ1lWbZpiRROj4Wwr7el0pdSEVdsWoND52ZcWaVz\neGgWAHCpjQmalvQuvCrI4o0GjNkApRw8qIo5RZOfBTWPAR7h0ZPjSKQk/vyNuwEAR4cD6eWvAPCt\n587jtr9/Ard86XEEY3qlLrPsxufiAGCrBw8wFp5LaZSzVorVX7VxmRkkn1nGEWeZZlEGZ6LobVte\n/+NKunprBy5MRzASqPxDCpVuOqKh2e9JH8TY4VUUntoXoW88BC2Zcn3/XS6/cnkvQvEEPv6DVyt9\nKWV3aiyErmZ/UWsGMqsSKv/ZeW4qgi0dhff3ZWNl8FiuTQzwCD8/NorOZj9et7MT69vqcXwkiDPj\nIfg8Ct58yTr85JVh9E+EcX4qggeOjFb6cstmLFhcBs9qTK/kJM0Bswl8Y/vyesD8VgaPAV5RhmYi\nVTlgxWL1nBzoZxbPySZDGtqbiivP8qicolmMYyNzAIB9PbWZwbtmWwc+dNN2/PjlYZwcDVb6cspq\neLb4VTYbzddXetCKlBJnbS5ozyazJoGfBbWOAV6Nm41oePTEBG67qBuKIrB7XTNOjwVxejyEbWsb\n8cc378LVW9vxhXddhs5mP57um6z0JZeNlcGzO6nKWm49ak64qoSBaTPAW24GjyWaJanGHXjz7e1p\nQXujDw8fH6v0pdAyDExHin6PexTBU/siHBueQ71XLflB2g3eb07VfOaMe+7rgBHg9RZ5ELe2yQ+f\nR8FAhTN4U2ENc7FEepVFsTwKF52TgQFeFZNS4sGjoxhaoWWkUkr8yXdfRiKVwnuv3gQA2NXdjDMT\nIZwcDWJ7VxN2r2vG9z74S3jnazbgsg1tOGyOlXaD8WAcDT7V9jLh9gYfvKpIT7iqhIHpCJr8HrQ1\neJf1c3zM4BUtnkhiPBjH+rbqG7BiURWBN1+yDo8cH6+KYQFUPC2RwpnxEDZ3FBngqQr7bopwdDiA\nPT3N6YxHLepprUdPax1eujBb6UspGyklhgOxoistFEVgQ1vlVyVY/y4uLrE31MNF52RigFfFnjg9\niQ9+6wX8xtcPrMi0w8dOTuDRkxP4qzfvTfch7Opugp6UGJqNYkdn04LXX7K+Ff2TYYTi7nhwHJ2L\nFbVnRlEEuprrMFbJAM/MIC136ptPNXYDMcCzr5pXJMz3tsvWI6on8dAxZvGc6PFTEwjGE7h5b1dR\nf86jCtcNwlopqZTEsZG5mi3PnO/i9a04Ouyeg9upsAYtkUJPa/ErBiq97PzxUxP41I+PoM6r4LKN\nbSX9DI/KRedkYIBXH7/8uwAAIABJREFUxX5+1Oh3658M4/+9OGjrz8wPBJ85M4lvH7iQc83BQ8fH\n0Oz3pMs0ACODZ9nZvTDAu6i3BVICJ0fnkExJPHV60tEBwlgghm6b/XeWrhZ/urSzEi6UYUUCwAye\nXWcnw/iDb72AgelIeilwqaUzq2X/5jXoaa3D/Yfd0y9bS3708hDaG324YWdnUX/OowgOWSlgcCaC\nm7/4GP74uy8jGEuU/BDtJvt6WtA/GV7xjP9UKI4//I8X8ML5le0PHjYrnoot0QQquwsvlZL4yHde\nwnAghj+7dbftBe2LWSWa/CwgBnhVSkqJx05O4Ja93bhiUxv+533HEYjoCESN/2Xz9Sf7sesT9+Ob\nT59FKiXxR99+CX/1w8O4P8dglBfPz+DKzWvgVTP/GezoygR1Fy+aLmaNkz42PIfvHRrA+79xAF98\n6CQAIKY7b9Ty6Fys6EWi3c11FSvRTKYkLkxFytIzkunBc96/t9X0f589hweOjuLLj5zGWTPAq/ae\nHUURuGZrO14ddE/ZVa1IpiQeP2n0RM//XLbDWnTu1r2l5fCd5wdwZiKMn7wyDAC4aov9RdhuZR3c\nnljhQSs/fGkI9x0execfOLmif8+I2SPf01p8gLd1bQOmw1p6TclqOjMRwkxEx/9+56X4vddtK/nn\npDN4zObXPAZ4VerJ05MYmo3i1n1d+ORb9mEmouOh42N485efzLp8XEqJrz3Rj0RK4n/dfwL3HxnF\nlPkh9U+PnUn38z12cjz9+vNTEWxfVIZZ51Vx0+5OXL6xbUkPSE9rHVrrvTg2EsSjJ4yf872DA/jH\nR07j4k89iIPnKj+578ToHO566FTBDzcpJcbn4ugusoxjXWvlSjSHZ6PQkqmyZJC4JsEeK6j7+dFR\nHDw3jXUtdVizzP7H1bCvtwXDgVhFHlSodCdG5xCKJ3DN1o6i/yzHoxf20sAMtq1txJ51zXjbZb1V\nf1izGqyD26PDcyv69zxnTvY9MhRYkZYTi3V/XldCieaedcY/i+MjK/vPIpvjZoB9yYblre3gonOy\nMMCrQqfHgrjznoPoavbj9ot6cPnGNnQ1+/EvT/RjaDaKvvFQeh+a5cxEGBPBOH7zlzYjnkjhQ99+\nEc11HnzyLftweCiA/zhwAR/81gv4rW8ehJ5MYTKkIaonsSnLuP1vfOAq/OC/Xbekz0sIgX09LTg8\nNItn+6ewrqUOMxEdX3zoFBIpiR++NLSi/1zs+NSPj+LLj5zOmbW0TIc1aMlU0Rm8rhY/grFERQZY\n9E0YuwnLmsFjgJfXaCAGjyIwF0vgwaNjuGZb+7L7H1fDbvNB5dSYu8afu92hczMAgP1b1hT9Z1WW\nZhV0ZjyMyze14YGPvA7/8N4rKn05VWF9W71xcGsjwPvyw6fx3rufK+n+1z9p3L/CWhLnp1dukMlI\nIAavKtDRWNyaEcCYQgxkVmisplFzd+ly1/Bw0TlZGOBVoR++NAQpgR/84XVobfBCCIHrtnfg5LyH\ntVcWlV891z8FAPid127FtduMspN3XLkB77tmE9obffjEj46kX3tseA4XzA/YTVkmtSmKyLnIeV9v\nC44MzSEYS+Av37wHva11EMLI7lW6JCyZkulTSOufRy6ZMo4iM3hmQDhSgVUJL5ybgaoIXLx++Yt5\nuQfPnrG5GN5x5QZs6WiAVxX4reu2VPqSbNls9mleWMEHKSq/g+em0dNaV9JDnpelWXkFYzpG52JL\nqlZqnRACF/W24FiBQSsxPYm7Hj6FZ/un0iWudiVTEoPTUVy/Yy0ArOhQl7FADF3NdTmfYfLpbPZj\nbZMfx0dW/2BseDaGJr8HzXXLqxBJT9HkQU/NY4BXhY4Oz2H3umZsmLcH6TrzgxEwyuuODAcgpcRv\nfOMAXvf5R/Hg0VGsa6nD5o4GfO4dl+Ijt+zER27ZiTqvijuv3woAuMo8FT4zEUrvUyt2YMf8qWM3\n7OzE9//bdfjpH12PN+7rxvnJSEX7P06NBdMTPk8V6CfoL3FghtW4PTK7ugFeKJ7Adw8N4Kota2yv\ndciHe/AKi+lJzER0bFhTjwc+8jo8/bE34IpNxWdWKmH9mnqoimCA5yBSShw6N4P9W0rLElvj/pnB\ny65/wvjMn99nToZ9PS04MRrMe+B3ZN6KpMdOThT180cCRnvBrfu64VMVvDpY/gAvpicxZwbxxQ5P\nm29fb0tFSjRHAtGSJn8uZvXgcdE5McCrQmcmQktuQjfu7kRHow8fvW03dq1rwtGhOTx5ehJPnp7E\nhekInjw9iV/a3gEhBDZ3NOIjt+xCW4NRovCHN27HvR9+Le75nashhHGqbwV4G4pcpnvz3i70tNbh\nly/tQXujD71t9biotxUb2xsQjCcwG8k+AGY1WD2Ar9/ViVNjwbzBZv9ECEIAWzqKC/Csk/XhFdpN\nmMs9z5zDRDCOj92+pyw/z+rBYwYvN2taandrHeq8KrqKLOetJK+qoLetDuenGOA5xdBsFKNzsfRB\nXLE85ntaZ2lWVmfMEndm8JZ63a5OxBMp/Oo/PY3P3nc86yHBofNG+fCt+7qLnqBtfQ7t7GrC5Rvb\ncPcT/bjq7x7Gfz5/wfbPiOnJ9AHu4cEAfvubz+OQec+P6Un88j88ies++ws8f3a6pAmalr3rmtE3\nHlr1AGk0EEPPMsszgcwUTZ0HPTWPAV6ViWpJDM1Gl9yEuprrcOgTt+BDN+3Axb3G3pp/fvwMulv8\nuHG3MU779ovXZf2ZQghcuqENDT4PelrqcGEqggvTEXS3+IsexdvW4MPjH70J//iehf0Lm81AaSVr\n6wt5zuwLvHF3J+ZiCUyEcq8zOD0eQm9rfdH//3e3GCWpg6sc4D14dBRXbmorWwaJPXiFWdNSi+3T\nrBab2xsr+n6k4ljl5ZduKG10vzddmuXs9/TQbBT//tz5kgdx5DrY6xsPwaOIohfI14Ibdq7Fh27a\njnA8ia890Z+1BPPQuRlsXduId75mA4LxRDq4ssMK8DZ1NOCtl/cCACaCcXz63qPpw+ZC3n33c7jp\nC49hJqzhT773Mh49OYG/u+84AODbBy7gzISxozeRktg9b91TsbZ3NUFLpjCwyusShgMx9JThXuNJ\nZ/Kd/TlAy8cAr8qcnQxDyuynjFbZzkXrWzET0fHMmSn83g3b8MV3XYZ7fudqvHFfd8Gfv7mjEeem\nwjg/HcHGIrN3Fp9HWVLfvtEc1mL3w7qchmaj+KP/fAn3HR7F9TvXprOfZ8bDWV8fjOl4/uw0XrO5\n+GDJ51HQ1ezH0Cp++I/PxfDqYAA37y3879culmgWNrqMaWzVYFNHA85PZX8P1KJ4IompPIc+lXbS\nLCvf1V1ahskq0XT6cIWP/tcr+MSPjuDnx4rf4/jq4Cwu+tSDeNScFj3fmYkQNnc0FL1+ohYIIfDR\n2/bgF3/2eqxvq8dPX10Y4KVSEi9emMFrNq/B9TvWot6r4h9/0Ydpm1N6z0+F4VMV9LTW4/3XbMKD\nH3kdnvyLmyABfOXRvoJ//sxECK8MzGIiGMdv/dtB9I2HsLOrCS8PzCIQ0fFfLwziso1teMeVGwAA\n124vfgqtxXp+6BsPlfwzimUMvit+qnc2mTUJzv4coOXjJ12VSZeRdOUuHbx1bze6W/x43a5O/NZ1\nW9DR5Mfrd3Xa6tvYsrYB56ciuDAVyTpgpVRWqWe2JaHPn50u6rSvWF95tA8/eWUYPo+C91+7OR0c\n902EcHYynP5nCgCPnhjHJZ/+OSaCcdy0p7hFwpataxvRN26UgE4EV/6B0XpYecOerrL9TGbwChsz\nB+l0OzSDt6WjAbOR3Hsza82Hv/0Srv/coxicqc6s5snRIDa1N6DBV1qPrRW4OH24gjX59af/P3v3\nHd9Wfe4P/HO0p6cs7z1iZ+8dSAhQIKy2QKEL6KUFSum8hUK57aXj19uWS++lm9vS0rJnWS0QCIQk\nZO9lx3svSdbe0vn9cXQUO16yfSQd2c/79eqrsS3bJ8GWzvN91oleAMALhzrxuT/FNrnxlSPdcPtD\neG6M0r/mQReVZ06CYRhsrTNiT5N5xGtDfZ8DFpcfayuyoVXK8INr5uNgmwWf/b99MZUydljcKMri\n+oIZhsG8PD2KszT4zMpivHyka9LX0R1nudfAgnQVjndaUZGjxcPXLQDLAn/f14azvXZ8alkhHr5u\nAV6+e92M9hsmI8AzOX1gWWGqRfjnAerFJYIEeAzDXMEwTAPDME0Mw3xvjI8rGYZ5PvLx/QzDlA37\n2AOR9zcwDPMJIa4nlTXH0BuWl67CnvsvwZO3r4r2XcSqLFsLs8uPPrsXpVnC7QDSKWXI1MhH3TwN\n2L246Y97ccMf9sIUp9PzA60WXFpnxJmHP4GlxRnIT1dBo5Di3dN9uPxXO/GJX32E7Wf6AQDPHOiA\nQirBQ9vqcO2Swml9vyXFGTjeZcO1v9mDVT99L6YTyJl4/+wACtJVqM2bftnJhWgP3uT67F6o5VKk\nqWY+1CYZSiK/3x3Uhwe7N4DtZ/rhCYTwxO62ZF/OmOr7uOFa0zUbhivY3AGYnFxW6MOGQfiCIdz3\n0gnsaTJjb7MZoTCLn79dj73NY09JbhzggsNT3Xa8dqwbD756EsFQGIFQGO1mFyppwMqkNlYZ4AmE\ncLRjCN5ACHf9/TCu/+0eSCUMNlVzw95uWV2CR25cgvo+Bz5qnHzgSrvZPeZAt1vXlyEQYvHS4a4J\nP393kwlVRh3++6alqMzR4j+vWYAVpZlQySV45N1zkEoYXL04HzqlDCtKZ7a8Pk0lh1GvTGiA18/3\ne89gOAzvfCY/dZ8HiDBmHOAxDCMF8FsAVwKYD+AWhmHmX/CwfwMwxLJsFYBfAfh55HPnA7gZwAIA\nVwD4XeTrzVnNgy4UZU7eGyaTSqY1aa10WOAodC9CUaZmVAbvqX3t0T/viuGFYKpcviCaB51YWJge\nDXYZhkFljg67Gk0Is9zky/tfPgGXL4j9LWZ8ankh7thUEX0inKorFuSBYbibicIMNf64szluo8l9\nwRB2N5lwSZ1R0P1rNGRlcn12L/LSVSmx924sZQbu97sthjLNt0704o4nDyZlv2MinI30txl0Cjy5\ntw13/f0wjnYMJfeihvEGQmgzu2d0iDMbxqM3DXIB2ufXlsDpC+KPO1uiHzvdY8eHDQP4/YfN+Oyf\nxs4cNfZzN+XdVg++8dwxPLO/AzvqB9BmciEQYlFNAd6k1lZmQ8IAe5pMeOlwF94+3YeaPB0e2lY3\nopph2+J8ZGrk0UzreFiWRafFHV3dMlyVUYfV5Vn42942DI1T7ukNhHCg1YKNVQasq8zG+9/ZjItq\ncqCUSbG6nCvFvLgmB9m6mQdHw69reOVPvPHL2YWoFpFLZkcmn8ycEBm81QCaWJZtYVnWD+A5ANdd\n8JjrADwZ+fNLALYy3F3TdQCeY1nWx7JsK4CmyNebs1oGnXEtIxm+JFvocdFFmepoBu94pxUX/eID\nPLajCZfWGaFXyXCwTfgbqjO9drAssLBg5G64i2q4k8YvbSjDL25YDIvLj1/vaILdG8TKGZRvAMCy\nkkz88+ubsPO7W/AfV9fB7g3icHt8bhY/qB+A2x/CZfPHHqAzXRIJA5mEoR68CXQPeVCQkZrlmcD5\nFSix9OF996XjeO/sAD6oF/4QRgz4xcV/+9IaXL04H/tazfi3Jw+Jpny1edCJUJidWQZvFiw45gO0\n29aXo9ygxaPbzwHgDqTaTK7o+HqW5So3AG68fCAUhs0TwIDDh22L8kd8zd1NJtRH+htr89JAJpam\nkmNJcQZ2Nprwp10tWFKcgTe+thG3bygf8Ti5VIINVQbsbjRNOLF6yB2AwxdEyThVSZ9dXYJemxfL\nfrx9RGa2edAJbyCEV450wxMIjTlE7o6N5SjN1uBrl1RN8287tsocHZoHnAlb+zQQCfCMegEyeNLZ\n0YtLZk6IAK8QQOewt7si7xvzMSzLBgHYAGTH+LlzRjjMomXQhQpD/AK8ipzzT7JClvwBfIDnAcuy\neGJPKzosblxSa8RD2+ajLi8NjZHeCn8wjBcOdqLNNPMBEPxunkVFIwO8r26uwi9uWIxvXzYPa8qz\nUJylxh92NgMAlhbPfFF4XX4actNU2FBlgFzK4J3TfXj7VJ+gGbF9LWbc//JJFGWqsWEGTePjUcgk\nlMGbQI/VM62F02KhUchg1CvRNkmJpsMbgNsfAgDsbx279C3Vne21I0urQF2+Hv978zL8+dZVsLj8\neC9Sup1s/ICVmUz/iw5XSLHpeQ19Dmx55EPsqO9H44ATKrkEFQYt/u+LK7CyNBP/fnkNVpRmos3s\nQsugCxkaOTQKKd440YMXDnVi3c924ObH90VfX65Zkg+DToniLDXWVWTjQKsFDX0OSCXMhL3t5LyN\nVQYc77SizezGXRdVjFvFsKnagAGHb8JyRr6CYLydu9cuKcAvPr0YDAM8d5Drnfzo3CC2/vdOXPPr\n3fjFO/VYWpyBNeWjD2YvqsnBzu9uwXKB95NWGXVw+IIYSECPPQAMOHyQMBAkCzkbMvkXCodZfPO5\no9j48x1xO0yfjVJmyArDMF9hGOYQwzCHBgdn5ylzr90LTyAU1xchuVSC17+2AS/fvX7K/XuTKc7S\nwBcMo2vIg/fO9OOW1cV44rZVKDNoUZ2rw7l+7kTsjzubcd/LJ3Dz4/uie22m62SXDQadctTJl1Yp\nw00ri6FWSMEwDK4b1m8nZACtV8mxtiIbf9nThrueOoyn97dP/kkxYFkW33/1JNLVcvx1Gr2WsZhN\nAd6gwwe7V7hsjDcQwoDDh8KM1B6pXpatReOAE997+QT+sqd1zMfw4/kB4GiHNVGXllAN/U7U5umj\nN6rLijNg0Cnw8Ti9XInW0OeAQipBmWH6z/18Bi/Vhis8d7ADrSYXfrW9EY0DXAWLRMKgyqjHS3ev\nx9cuqY4OB2sedGJBQRoum5+Llw9348dvnoFCKsHh9iH8v8jI/OpcPf75jY147Z6NWF+ZjYZ+B96v\nH0C1UQelbE53gMTsmiUF0CqkWFWWicsXjF89wlfDHO0c/3mDz7qOd6AskTC4aVUxti3Kx/4WC1iW\nxT+OdgPg1hlZ3QE8fO2ChJbKJ2rQyocNA2jsd6DP5oVBp5x228hwslnYg/f26T7841gPuoY8+OU7\n9cm+nJQhxF1jN4DiYW8XRd435mMYhpEBSAdgjvFzAQAsyz7OsuxKlmVX5uRMb/qhWPXZvHjs/cZo\nT0i1UdjM2oUWF2VMa0XAZIoyuWzH3/e1w+UPYduigujHqo062DwBDDp9eOdMHxiG63F64WDneF9u\nXMPLJo51WbG0OH3SJ//rl3EB3iW1xlErHmbq9g1l0Cm5QRyHYjxd6rS48f1XT6LXNva6ha4hD5oH\nXfjypnJUxennQSGdHQGeNxDCVY/twpX/s2vKL2pvnujBd188Dm8gNOL9fElf9TRH1ovFwsJ0HO+0\n4rmDnXj4jTPotnrwwsFOXPfbPdjXwgU3J7u4LPjNq4pxttcOjz800ZdMOeEwi8Z+B2qGZcckEgZ1\n+WnRiY3JdqbXjiqjbkYj/M+PR0+t3+n6Xu6/wcluGz46NzhmGWVpZDjY8S4bKnN0uH5ZIfyhMBze\nIJ67cy1WlGbiSIcVUgmDkiwNjHoVsrQKbKk1gmW5IGN9pSHRf7WUVZOrx6GHLsNzX1k3YdBRnq2F\nViHFmWGHRBc61mFFmkoWvT8Yz6qyLPTZvei2erCryYRrlhTg959bjr/evgpLiqe3G3K6oquW4tiH\n12py4ba/HMS1v9mDVpNLsJkI/H+v2bLonGVZ/PaDJlQYtLjz4gocbBsS9DB3NhMiwDsIoJphmHKG\nYRTghqa8fsFjXgdwa+TPNwDYwXJ36a8DuDkyZbMcQDWAAwJcU0r58+4WPLr9HL753DEwDLCgIDX7\nBPjJn49/1IJsrQJrK86XVPA3V8c7bTjb68DXtlRhWUkG/j7FhbaDDh9W/fR9/Pztegw6fGgZdGFp\nDE/+VUYd/vn1Tfj1LcsmfexUXVKbi5P/eTkurctFU39sLwi/+7AJT+/vwIOvnBzz46d7uJvu6S49\njoVCJpkVPXj8mO1uqwcHprCOw+UL4pvPHcOLh7tGTHEbcHhxz9NHIJcyMxq3LQZXLeJO32tydWAY\n4Of/qsdDr53C8U4rvvPCcYTDLE712JCfrsKldbkIhll8+4Vjogl8hNBmdsHtD43KIFQb9WhKYJ/N\neFiWxaluGxYVzqx0XC7lFxyn1o1d44ADq4f9ns0f4/WvbNjNb4VBi801OfjG1mr86LoFWF6Sia9u\nrgQArCrLHBEkLyhIw8LCNMgkDG5aVRTHv8Xso1ZIJ80oSSQM5hek4WSkVeJC/XYv3j3Tj83zJh8S\nxh86P3ugA4MOHzZVG3DlonxsnifceqBYGfVK6JWyuGbwDkZ6SD2BEA61DwlWWcQwXH/9bFl0/tzB\nTpzusePuzZXYVJWDUJiNVprY3BToTWTGAV6kp+5rAN4BcBbACyzLnmYY5kcMw1wbedifAWQzDNME\n4NsAvhf53NMAXgBwBsDbAO5hWXZ2HR/HoD3SIxMMs9yJmDI1x7KXG7TRUsnrlxWOKCusidxcPXug\nA6EwixWlmbhtfRlaTS68O4U+mHdO98Hk9OH3HzbjT7u5CWuXxrDgHeBuHOL1b8swDIoy1ei2eqI3\njGd77fjCn/ePOQKaf+H4oGEQB8cISk512yGVMDMaujCZ2VCiGQ6z+POu1ujwoCNTqM9/80RPtE9h\nd6Mp+v7Xj/Wg1+bFn25dhRwBmt6TaWVZFt779kX4xz0bcFF1Dl4/3gO5hMF/XD0f3VYP9rWYcbrH\njgUFaVhawh0m/OtUH77+7NEkX7lwPjrHlfSvqRjZx1qUqYYnEMJQkm8SOixuDLkDo/qIp0qagkNW\nLC4/TE4/Ll+QixWlmZBJGFxWN/r5fPj054ocHRiGwbcuq8EX15UB4CoznrhtJX71maUjPo9hGLx4\n53rsvG8LDViJk/n5aWjoc4w6qA2HWdz91GEEQmF8dUvlpF+nNk8PtVyK337A9crzKxmSgWG4DP94\ngasQTnRbRwTQNQK+1sukTEo9D4znZJcND756EusqsvGp5UVYUpwOhuFe5z86N4glP3oXz+wfvfOS\ncARp7GFZ9p8sy9awLFvJsuxPI+/7Acuyr0f+7GVZ9kaWZatYll3NsmzLsM/9aeTz5rEs+y8hrifV\ntJvd0dPXZD6pzRTDMPjhNQuwtdaIuzePfEI36JTIT1dhRz23sHRZSSa2LcpHhUGL77xwbNy9Rhfi\nAyOGAf64swUX1+SI5oW7MEMNpy8Iu5frK3zknQbsajTh3188jqU/ehf3PHMkGvy1mty4ZkkBcvRK\n/PKdhlFZhNM9NlQbdZOuy5gJhTT1M3gvHOpEi8mF71xegyqjLuYeskAojKf3d6AyR4vrlxbgeNf5\nz9vXYkZFjhYX18yOUvAqox4ahQx3bCpHulqOn3xyIT67ugRquRQvHe6K9DWlw6BT4ntX1qIwQ436\nPgc6Lam/P8/jD+GPH7VgcVH6iCwQgOiE1B7r2GXSicL3Aa6tmNkgJb73JpVKNFtN3PN5ZY4Of719\nFd7+5kUoGaNUbXj52liHXgzD4JLaXOSnjy4DVCukKT0sSexq89Pg9AXRfcHv0Xtn+3Gkw4ofX7cw\nptdomVQSrcaZl6sf879lIi0vzcSpbtuo8v2JvHG8B0sefhc76ic/tD7X58Sy4gzcsroYKrkEl8d4\nUB0LuUSCwCwI8F452gWlTII/fGEFpBIGepUc83L1ONppxStHuIPz5w9SgDeelBmyMluFwyzazC7c\ntr4ML9+9Dg9uq0v2Jc3ItsX5+PNtq2AYYxrUgsgqg7r8NKSr5ZBJJXj6y2uQqVXg0e0NMX39drML\ndflp+NF1C/Gp5YV49KYlgl7/TBREbiK6hzwIh1nsazHjs2tK8I2t1SjO1OCtE73Y32qBwxuAyenD\n/Pw03HtJFQ60WvBhw8jBQad67NF/r3hRyqUpvej8/bP9ePDVk1hTnoWrFuZjcVE6TnTbYiq5u/eZ\nozjRZcOdF1eiOlePXps3OvCn3exGVRxXlSTLpuocHP/h5fjksiKoFVJsqc3BK0e7wbLAskj27q6L\nK/HUHWsAAK8c6YbdGwDLsikVNAz3xJ5W9Nq8+P5VdaNKxPIiN5C9Nm8yLi1qd5MJuWlKVObMbLiW\nLAVLNFtN3CFCabYGepV83NU9GsX5ygshRskT4fClz2d77Wg3u2BycpMn3z7VhwyNHNctLZjo00e4\ndX0pVHIJ7tpcEZdrnYoVpZkIhNiYs3hOXxA/evMMbJ4A/rCzBW+d6MW3nj8Gs3PsSZytZhfKDVr8\n5PpF2P/gpSgeZ8rodHDtF6lfDHeu34HaPO5+kbesJBP7WszRyq+zvY5ZNVBGSBTgJVmf3QtfMIzS\nbC1WlGbN6ilfm+fljPh/AMhPV+P6pYU40mGNqXG2PbIw9QtrS/HoTUsFXW46U4WRJvIeqwcdFjdc\n/hCWFKXjW5fV4Jkvr4GEAfY2m9EWuakpN2hw86oSlGRpcNdTh6OlnAMOLwYdvrj3YiplEviDqfsi\n8Mi751Bl1OGJ21ZBImGwuDAdgw4f+u0+hMLcJLZemwe/2n4O//GPU9EgZdDhw9un+3DnRRW4aWVx\ndO9kyyDXj9VhcY870ns2uXLh+X1hw7NH5QYtqow6/Oq9c9j22C48/MYZrP7pe6NO6MXO5Qvijzub\nsbXWOKo8EwAK0rkMXt84g44S5Wj7ENaUZ894SiA/RTOVhiu0m12QShgUZU7++/anL67EM19ek9Bp\nimRyNbl6MAywr8WCK/93F276414EQmHsaBjAJfOMU5oAfcXCfJx5+Ap8clny+yX5nsBDMe7v/elb\nZ2By+nBpnREHWi2455kjePVod3SX43AuXxCDDh/KDFpIJcyIAEYIcqkEgWDqPA+Mp9PiGRX4Li/J\ngD8YhtsfwqfcpVTIAAAgAElEQVSWc8OWWgRYuTUbUYCXZPwuuPIZjMdOFbesLsFfb1+Fb19WM+L9\nK0ozEQqz0WlqNncA9790Ah83mUY8LhRm0WXxCDZtSmjRki+bJzqFcX4+l4XTq+SYl5eGIx1DaI3s\nBSozaKGQSfD8nWuxsDAdD79+Gt5AKLrbb+EMhy5MRimTpGwGz+MPoaHPjisW5kf7KvkeppPdNjx7\noAPffP4Y1v1sB/73/Ub8fV87/nmyF8D5ATZbarnm/arIWpKWQRcGHL7IgYs4f8aEdOXCPNyzpRJ/\nvnXlqFLgH14zHxfX5KDT4sFfP27DkDuAHWfFsTMuVm+d7IXdG8Rdm8fu/zHolJBLGXRbk5fB8wZC\n6LV7R+wnnS65NHXGo7Msi26rBy0mFwoz1FDIJr8VuXR+Lk3CFCGtUobSLA2e2NMKtz+ElkEXfv9h\nM6zuAC6bRtmh0FOupytLq0CFQRudNjyRpgEHnj3QiS9vqsBD2+ZH37+kKB0vH+mC64J1UPxuwLJx\nlr/PVKoMUHv7VC/++92GMasOQmEWPVYPii+YvsoH3nIpgy9tKAdwfhUHGYkCvCTjlxDPZP9RqpBK\nGGyeZxw1CpzvqWjo435J/3GsG88f6sQ9zxxBIBSGPxiGLxhCv90LfygsaCmDkAxaJRRSCbqtHpzu\nsUEmYUaM2V9YkIYzPfZoUF+axf03z09X45uXVsPhC+Kjc4M43mmDJAHTVJUyKbwB8b8IjKW+z44w\nO/LfaH5+OiQMcLLLimcPcHX5WoUUK0szkZumxFsn+AAvEnxHPrc4SwOG4cZWd0T6zsT6MyYkmVSC\n736iFlvHGGqxqToHT35pNbbWnp9gd6IrfgMH4uGfJ3tRlq3BynFWwkgkDHLTVOOuKkkEbijT+Eug\np0KaQguOf/tBEzb81w68daIX8/PF0UNNpo/vsTPqlVDKJHh0+zkoZRJclOJ9zFvrjPi42QSr2z/h\n41450g2phMGXN1WgzKDF3Zsr8Y2t1Xjgqjp4A2HsPDeyBaM9et8Xn9eZVBmg9tA/TuPXO5rw9qm+\nUR/rs3sRDLOjsvsVOTo8cuMSvHDnOlRHpkO3DMY/g/dhw8CU+jHFgAK8JGszu6CQSZCfpkr2pSRN\nfroKepUM9X1cBo9/MhxyB/DKkS5se2wXNv78g+iuHbGWz0kkDPIzVOixenGmh9trNTwzsqAgDWaX\nH/tbzchPV0GtOP+xNeXZ0Cqk+PDcIE5221Bl1MV9mqpSLoEvRUs0+SBteICnVkhRk6vHu2f6cbrH\njgeurMXeB7fiua+sxeYaI/a2mBEKszjdY0NptgZpKq4sRimToiBdjTazK/rCWxqnk9VU89gty7Dn\ne5dgdVlW9N8mVZzttWN5SeaEJX0FGWr0JjGDxx8oCPGcxh+ciX16XjjM4q8ft0Xf3lqX+DH4RFjr\nq7gS6FvXl0X/e15Sa0zZieC865YWIhBi8dqxnnEfw7Is/nWqD+srs6NTl++/ohbfuqwGK0ozoZJL\nopOy+Z7mVlN8M3hyqfircwbs3mi/5nNjDErpjB62jh62c8OKIiwryYRSJkVRpjruJZrNg07c9peD\n+Nvetrh+H6Gl9m/fLNBqcqE0SyOasoRkYBgGdXlpONtrhy8Ywt5mMz6/tgR7m824/+Xze+L4tQhi\nzq4UpKvRY/Wga8iNDReUE/Ell3uazFhfObInSCGTYEOVATvODsATCAk6UWs8SpkEvhTN4J3usSNd\nLR81HW9JUQaeP9QJgLtx5IO4DdUGPH+oEye7bTjVbcfCwpFZg3KDFm1mN0qz3WCY8+W2c51WKYNW\nKUNJtga7Ggcn/wSRsHkC6Lf7UJ078ejxwgw1DrTGvjtRaJ0CBnj8FE2x77860W2DyenHIzcuQblB\ni+UliV1iTYT3+TWlqM1Lw/KSDDQNOqGSSfGNS6uTfVkztrAwHYuL0vH0/nZ8cV3pmIdFJ7psaDW5\n8KUNZaM+JpdKsLgoA4fbh3C0Ywg3/GEvvrm1GucGnCjMUMctAFbIJKIfjLU3Uvp6Sa0RHzQMoNvq\nGfF6Hg3wJunPrTDo0BLHhfQA8Pe97ZBJGFH0hk4FZfCSrGnAGR3yMJfNL0jD2V4HDrRa4AmEsLnG\niK9v5V4gblldDINOgX0tFtHffBdkqHG804p+u2/Uwt66/DTwrw9jleRePC8HfXYvbJ5AQpa7qlJ4\niuaZHhvm56eNesG9cSX3BLykOGPE79WGSED9z5O96LC4R00oLTNo0GZyoWvIjbw01awedjQdZdka\n9Nt9cPuDkz9YBBoji9rn5U383JqfrkK/3Zu0yZMdZjdUcokg+xajQ1ZEnsHbE+mtvqTWiBWlE2dY\nSWqQSBisLs+CTCpBbV4aHv3M0llTBfGZVcU41+/Euf7RQcSA3Ys7/nYI2VoFrl1aOObnryjNxJke\nO1441IlQmMVvPmjC/hbzqENGISml4i3RtHsDONBqwZ4mE9JUMvzg6vlgWeBbzx/DL96uhyMybK9z\nyBO535t4XUZFjhatJldM07On4q0Tvdj0ix2455kj+Pu+dnxqeWHK7cWlDF4Suf1BtJlduH6cJ4a5\nZGFhOv76cRue/LgNcimDdZXZ0Cpl2FhlQJZWAY8/hH8c60G+yG++CzPV0R6YJcUjT6a1Shk0cilc\n/hDmjZFZ2BIJ6jQKKS6eF//eBW7ISuqVaAZDYdT3OfCFtaWjPrayLAtv3rsRRZnqETeO2TolFham\n4fGPuCzwhQNsyrK1sHkCONVtm/TEcC7ib9Y6LG7R7J2cCH8zVm2cOINXkMH9vg46fMhLT/zBET+x\nVYggh1+TEBR5Bu9klw1l2RpkaRXJvhRCJsVX4hxuHxq1g/GZAx0wOX14896N407CXFGSid+HWTx7\noBN6lQwObxADDh/WzXDv5UTkMka0/fVffeoIdkcOeS6fn4sygxZ3XVyJP+xsxoFWC9z+EP7z2gXo\nsriRn6aadABTRY4Obn8I/XZhn8Mf3d6ATosHnRYPqo06PHBl6q0wowxeEjX0OcCyQG3+xDchc8Gi\nyA33e2cHsLYiO1q6kK1TgmGY6CCIeE+WnKllw8qNxhoesLIsa9TjeAUZarx01zq88tX10CWgd0Ep\nk4q6RPO1Y924/6UTcPuD8PhD0RPJFpMLvmAYC8Y5AV1YmI4Mzeibx41V54PmRWMEeAAXGBSNUfM/\n1/H/Pm0pMo76XL8DmhgWXBdFJrS1m5Pz9xJyJcf5AE/cGbxTPTbRP48TwivN1iBbq8CRjtHrEva3\nWLC4MH3CnbXLhw15uv+KWly9OB/zcvVxLfdTSMVZotlqckWDOwD4xII8AMD3rqxFw0+uwDVLCvDa\nsW4EQmF0DrlRFMNzY6WBn4ItXJnmgN2L5kEXHtpWh133bcEb925EZgoeSFEGL4n4oSJ1KXAiHm81\nuTpUG3VoHHDippXFoz5+5cI8PLStDlcszEvC1cVuTXkWSrM1uLgmZ8z6+h9dtwD1fQ4sLhq774QP\nABNBGRmlHA6zousBdfmC+NbzxxBmgSG3HwfbLDDolHjj3o3RNQf8CopYXTbfiD/sbEZljnZU9mB4\nyaxYh/gkEz/trdXkhtXtxy/facDtG8pQNUmGLFnO9TtQbdRN+nPN35id7LaNuSsvnliWRafFjXWV\nwnxfvkRTzENWrG4/uoY8+PwY2XdCxIhhGCwsTI+uL+KxLItTPTZcu2TiRe5ZWgVWlGbiaMcQrlyY\nl5CffbFO0XzpcCckDPDONy9Ch8UdrVoCuAPnqxfn443jPdjXYka72R3TFNbyyIqZZpML66uEWaPC\nD3FbXJQh6pkPk6EAL4maBpxQySXRU+S5jGEYPPml1WgacGJT9ehfUplUgjs2VSThyqZGo5Dhw3/f\nPG7JVWm2VjS9CUo5d0PoD4Whkoir7HXnuUGEWaDCoMW7Z7j9a0PuAF4/1oOGfgeUMgkqp7g7bEVp\nFv5y2ypUGUf3ZQ0P6iY6jZ2r9Co5DDoF2kwuPLWvHU/v74DF5cfvP78i2Zc2pnP9TmyOocw5R69E\nhUGLZw504PL5eShJ4P5Ds8sPlz8kWEmwVMKAYcS9B6+BP9Sk1QgkhSwsTMPuJhO8gVB0MnanxQOH\nNxhTNvqvt6+CzRNAti4xPVxykfbgbT/Tj3WV2ajO1Y85AOui6hyo5BK8eqQbAw5fTPtB89JU0Cik\ngmbw+GC+LsWr66hEM4n48hyxZU+SpSBDjYtqclK+6T5Vrl8V6WUUY5nm26f6kKVV4MW71uGGFUV4\n4c51qM3T44k9rTjSMYTFRemQSaf+9LWl1jjmiZxCJsHWWiP0KhlWlycui5pKyrK1aDW7cKidK1Xa\n32oRvLFdCEMuP0xO35h9rmP5wTXzMWD34fa/HkA4geWN/O4mIZac82QSRtQlmo0DfG8kDRYjqWNR\nYTpCYTZ6QAFwpcZAbPtq9Sr5qH1u8STGRec9Vg/O9TtHZO0upFZIcXFNDl452g2Am5A5GYZhUG7Q\nCroLr77PgdJsDfSqsfsqUwUFeEnUKWD/BSFTxWfwxDZoJRAK44OGAWytNSJbp8QjNy7B6vIsfGlD\nOer7HDjaYcWqOJSy/uazy7Hrvi3jNsvPdWUGLVoGnTjWaYWEASwuf/SGXUzORSZoVufGFkRsnmfE\n//vUIjQPuqKjuxOBP3EWcoqyTCIRd4DX74BOKUN+EgbaEDJdfFUHH9QBwJkeO6QSBjUxHiQlklKE\nJZp82ePwnsSx8H15wNizCsZSkaOL7hYUQpfVMyvuzSnASxKWZdFhcad0fS9Jbfw0UrFN2zrYaoHD\nG8SlF+wCvHZpAWpyddApZWP2ac6UWiEdczgL4SwqTIfJ6YfVHcDdmysBAPsTGBDFig/wpnLjdVld\nLhQyCXbUD8TrskZpHHBCKZNMOgZ8KmRSRpTDFZ490IFvP38MZ/scqDLqUqbKgRCAG8aUrpbjVLc9\n+r7TPTZUG3XRkk0xkUvFl8FrihwGjtUiMdy2xfnYVG3AF9aWIjcttoOgCoMWXUNuwQ6re62eWXEI\nRT14SWJ2+eH2h2bFKQFJTUqZODN4zxzoQJpKhouqR/ZQqeRSvPX1TXD7QkjXUJYt0VaWnT95/eSy\nIrxypBv7Wi34wrqy5F3UGI512mDQKab0Aq1WSLGmPAsfnUvcMveDbRYsKc6AVMASfbkIp+exLIsH\nXjkZffszcTicISSeGIbBytJMvHG8BxkaOb59WQ1O99ixUaChHkJTiLAHr3HAgdw0JdImKXtUyqT4\n+7+tmdLXrsjRIswC7Wb3jDOqvmAIAw6foAdvyUIZvCRpN7sB0MQ+kjznAzxxvBB4AyG8fLgLb53s\nxS1rSqBWjD4ZlUslFNwlSV1eGtZXZuOimhxU5mixtiIb+1vMouvDO9Y5hKXFGVPOEm2oMqBxwIkB\nhzdOV3Zem8mFk902bBL4BlGMpVl99pH/nquox5WkoPuuqEVFjha//7AZ9798AgMO36TlhsmikInv\noKd5wDnpXtLp4nv1hBi00m/zAQAK0inAIwBCYTYy1jX2GuBOCxfglSZwahshw/GlJWLI4AVCYdzw\nh4/xnRePoypHh3svqU72JZELSCQMnvnyWvztS6vBMAzWlGfB5PSjWcDm9pmyuQNoHnRhaXFsvRvD\n8YuH97VYhL6sUZ7a1w4pw+CmVcJms8Q4Hp0ffnDnxRW4YUURrlok7lU3hIxlXp4er39tI65cmIdX\njnBDQGKZ1JsMXCafTejQqImwLIumAeek5ZnTFV2VIMBrUY/NAwCUwSMclmVx8+P78Gpk8k8sOiIB\nXiInKxEyXDSDJ4IevF2NgzjVbcdD2+rw5tc3JmTRO5kZfm/c/lbx9OEd77ICAJYWT/1kfUFBGvRK\nGfY2x/fv4w2E8OLhLnxiQV7MPSaxUoiw94Y/Vb99fTkeuXEJNAr63Sap66Gr52NhYRq+vrVatPdv\nCtn5FUhi0GPzwuUPoTJOAZ5OKUNumlKQSZo9Vi7Ay8+gHjwCbkdbpkYOk9MX8+e0m90w6pWibNAl\nc4MymsFL/ovA7kYzlDIJPr+2NDr8hYhbWbYGuWlK7Gux4HNrxLG4+linFQwDLC6e+i5DmVSCNRVZ\n2BfnwTHbz/TD5gngc2tKBP/aYszgNQ+6oFFIkZuWmB1ghMRTYYYab967KdmXMSH+8DYQCoviHjM6\n+CqO61EqDDq0mmZeotlr40rKZ8OQFcrgCcSgU8Lk8Mf8+DazC+UGcSy8JnMT/yLgDSS/RLNxwIHq\nXHFOJCNj48o0xdWH19DnQEmWZtJG/vGsqzSg1eTCM/s74vZ32t1oQrpaHs2ACkkhk4jiwGa4FhP3\nWkeTMwlJDHlkR6xYDnsapzHZeKrKc7RoEWBVQp/Ni3S1fFZUGlCAJxCDTgmzK/YMXqvJJeiCW0Km\nSkxDVrgDD1p+nGo2Vhkw4PDhaKc12ZcCAGgedKJqBnvlblxZhJpcHR589STePxuflQkH2yxYXZ4l\n6PRMnhin57UMOlEh4K4/QsjExFSiOeDw4pUj3SjL1iBTG781RBUGLazuACyu2BMtY+m1eZEncOl8\nslCAJ5BsnQImZ2w/WLbIDyFl8EgyKUUyZMUXDKF7yEO/DynoqsX50ClleHxnS7IvBaEwixaTa0Z9\nHmkqOf759U3I0Mjxr1N9Al4dJxAKo93ixrw4nWSLLYPnDYTQbfWgkg4zCUkYRSSDFwgmv7Li688e\nRX2fA3dsqojr96nMEWaSZr/di7xZUJ4JUIAnGK5EM7YMXmtk2iZlLEgyqUSSweu0uBFmgXKDOBvW\nyfh0Shnu2FSOt0/3RctwkqV7yAN/MDzjYEImlWBZcQZO99gEurLzOi1uhMJs3A4zxLYmoc3sAsuC\nMniEJJA8msFL7uHtoMOHfS0WfOvSGnx+bXz7tPmKuJkOWum1eWdF/x1AAZ5gDDoFHL5gTP1MfCMo\n3dCSZIpm8JI8RZN/QqYDj9R08ypuWMgHDfEpaYxVc+TkVohgoiJHhzazS/Ax462RHpHyOGW0FDJx\nTNH0BUMYcvlR38sF/TMpmyWETA2fwUv24e3ZXjsAYE1F/HdfFmVqIJcyaJ7BoBV/MAyzyyf4dONk\noQBPIAYdNyHMHEP9b+ugCxIGKMmishWSPGIZshK96c2m34dUlJeuQmWONiH74ybCB3iVAgQT5QYt\nvIEw+gVeeh7vn3Wx9ODd/dQRrP+vHXhmfwf0Shnm5cVvuAIhZCT+tT3ZzwWNA9xzcnUcp2fypBIG\npdlatM4gg9dj9YBluUmpswEFeALJ5gO8GFYltJhcKMrURBthCUkGmYSBhEn+KV/LoAvZWgXSNdOb\nfEiSb1VZFg61WbC70YTNv/wAm36xY8a9EFPVPOhCpkaOLAEa+QsiO5D4kdlCaTW5kKGRx23YgFIm\nTfpNncnpw476AXgCIRxos2BzrTEuA2UIIWPjp2gGQsntwWvsdyBLq4jeH8dbhWFmkzT5dQ7VubOj\n4oAiDIEYdNwLdiy78GhFAhEDhmGglEmTPmSledAZtwWoJDFWlWXB7g3i83/eD28gjB6rF0/saZ3S\n12gacOB7L59Ar41bNLunyYQHXjkBuzcQ0+c3DzoFyd4BgFHPBXj9cQjwyuKYqRZDiSZflnnfFfPw\nxXWlePCq2qReDyFzjUIkGTzuOTlx97qVRh3azS4EYnwO/OlbZ3D1r3eh3eyC2enD3/e1g2GA6jiu\nc0ik1F/0IBJ8iWYsu/B6rF4sLsqI9yURMimVPLlT98JhFk2DTly5MD9p10BmblXZ+R6Lh66uwwuH\nunCgdfKSzWAojHdO92PzvBw88s45vH26D702L373ueW499mjsLj8KMrU4J4tVZN+rZZBJ7bW5s7o\n78Hjp6j126cW4LEsC19w/OXCbSYX1sZh/x1PDIvOWyI9MJ9eXjRrelkISSUKkQxZaTW5cUltTsK+\nX7VRh0CIRbvZjUyNHH/e3YobVxaPmVA51W3D/+3iDiG//+optJpc6LZ6sKnaAJ1ydoRGlMETSDTA\nm2QXXijMYsjtjz6ekGRSyqRJG7LytWeOoOLBf8LqDmB+QVpSroEIozhLjRWlmVhanIErF+ZjeUkG\nGgeccPqCE37eq0e7cc8zR/CLt+vxcbMJALDz3CCu+c3u6D6jnecGJ/3+VrcfJqcflUZhTouzNArI\npQz67LHvNn3lSBdW/OQ91P7H2/i/j0avjfD4Q+ixeVEWx+oNUQR4gy5oFVIY9fQaR0gyKESw6Nzp\nC8Lk9KE0gb311UYu89Y04MCj28/hdx8247svHh/zse+d7QfDALetL8PuJhO6rR48fO0C/O5zyxN2\nvfE2O8JUEVArpNAqpJNm8IbcfrAskB3HhY+ExEopl8CbhBLNHqsHb57oBcA1R2+Zl7hTPiI8hmHw\n4p3rwDDcnxcVpoNluSlqw7N7F/qokQvqntzbDgD435uXYl+LGc8f7MSdF1UgEGLx1P52hMLshH1c\nzZHGeqFKNCUSBka9KuYM3skuG77z4nEsL8lEcaYaj+1oxK3ry0b0WfOZrbgGeFKuRDMcZiFJUt9b\n86AT5TlaMAz13RGSDEo5P0AteQFeGz9QKoHtSPwBX0OfE++c7gcAHGofQmO/Y1TZ5f4WC+bnp+F7\nV9ZCJmGwvDQTVy2aXZVElMETULZOOWkPnjmyDD1bRwEeST6lTJKUDN6xTisA4PefW443vrYRRZm0\nMiTVSSRM9KZ+YWE6AK4MZjzhMIuPm0wj3rehyoCffWoxGn96FR64qg61+Xr4g2F0WNwTfm8hJ2jy\n8tJV6IuxB+8ve1qhV8rwl9tX4SsXVcLhDUZHhAPAD187hW2P7QYALCuOX3n++dKsJN7YmV208oSQ\nJOJLxJPZX99u5p6zS7MT99quUchQmKHGa8e7YXL68MCVtZAwwBvHe0Y99ly/A4sK06GSS/HQ1fNn\nXXAHUIAnKINOAfMkJZr8lM1sLZWvkORL1pCV451WKKQSbK3LpfLMWcioV8KgU+JUt33cx5zts8Ps\n8uP+K2qhlEmwqdoQLV3ns3X8eO3Jlqg3DzqhkEpQlCnceOu8dBX6YsjgsSyLXU0mbJ5nRJpKjkWR\n4PZ0D/d3b+x3RDOU6yuzBb3GCymTHOD5giF0D3loiBghSaSSJS+Dd7LLhl+/3xidSBnPoVJjmZen\nj+7W/eSyQqyrzMYbJ3rBsucnig65/DC7/IIeCIoRlWgKyKBTRk8txmNyUQaPiEeyhqwc67SiriCN\nVoXMUgzDYGFhGl4+0oUwy+Jnn1o0avDI26f6wDDADSuKcO3SAmSoR6/J4MtqGgecuHzB+N+vecCF\nMoMGMqlwP0/5aSq8f7YfLMtOWG7Ya/Ni0OHDqrJMAFw/ol4pQ30fF+BtP8uVCu26bwsKM9RxLV1M\n1vQ8lmVx30sn0NDvQJgFyg2UkSckWZRJzOB9+4Vj0f13FTlaaBM8sGRTtQE76gdQZdTBmKbCtUsK\ncP/LJ3Gq245FRdzhG18uL1TPtljR3ZWAYinRtEQzeBTgkeTjMniJvRkMhVmc7LZhaeTJlsxOl8/P\nA8ANUnkr0m/J67V58Jc9bdhaa0SOXonCDPWYNwI6pQz56So0D4zcqRcIhfHQP05i5U+2470z/Wge\ndKJC4LLAvHQVvIEwbJ6J1zR0DXFrHUoiJ9UMw6AqVxc9wd5+ph+Li9JRnKWJe19csoYrtJhcePFw\nF050cSW5Cwvod5uQZElWBs8fDEfL5QFgaRKmxd+wogifWVmMn396EQDgigX5kEsZvH68O/oYvmdb\n6NcMsaEAT0A5OgUsbj9C4fGXS5pdfkgYIENDAR5JPqVMAm8gMad84TCLP+9uxW92NMHtD2FJHHuR\nSPJ9dk0Jdt23BTl6ZXQS5p4mE77+7FHc9Me9CIVZ/ODqCdJyEVVGHZouWJr+s3/W46l9HTA5/fjh\n66fRZnahLl/YUt+CDK6UcrJl511DXNXG8NLLGqMejf1ODDi8ONZpxaV1wqxvmAw/XCHRAd7h9iEA\nXBXLytJMVNFeS0KSRiaVQCZhEvbazuu2ehBmgU8tL0SOXokvrCtN6PcHAL1Kjp/fsBgrSrnhXuka\nOS6uycGbJ3oRjtybt5pckEuZuJbLiwGVaAooW6cEywIWlx8544yINjn9yNIqJpwIR0iiKBNYovnh\nuQH8+M0z0bfjuQ+MiENxlgbrKrKxt8WMYCiMB145GR2Y8vC1C1ASQwN+ZY4OLx7qBMuyGHT6EAqz\n+NveNtyyuhhLizNw/8snAQB1+cIup+V34fXZvBMGj92RDF5hxvmbhepcHZ4/1ImXDneBZYHL5icm\nwFNIudKsRPfgNQ9wPZAHHtyatOmdhJDzlLLEt1/wkzM/t6YEj960NKHfeyLXLCnAe2cHcLTTihWl\nmWgzuVCcKWxJvxhRgCcgfkCA2eUbN8CzuHzIovJMIhLxHLLi8Yfw9P52XL+sEAadEm+d6INSJsG2\nRfkoytJEMyRkdttQlY3Xj/fgsfcb0WFx4xefXozafH10GMlkqow6uPwhPH+wEw+8ehJ8r/xdF1fC\nqFfhR2+cQTDMYn2VQdDrzo8EeJNl8LqtHhh0yhE9hjWR3sHff9iMwgw1avOEDT7Hw/fgJXoybr/d\nC2OakoI7QkRCJZcmPIPXZuYCvETuvovFRdXcGqa9zSasKM1Eq8kV13U1YkEBnoD4wSkmhx/IG/sx\n5kgGjxAxUMnjtybhiT2t+OU7DdjfasFvP7sc28/04erFBfjvm5bE5fsRcbq0LhdSySk8tqMJpdka\nfHpF0ZQqGPhyvx+/eSYa3H1iQW70JuK1r22AP8hCJ3Azf45OCQkD9Nk8Ez6ua8iDwgtKffgAz+EN\n4pPLChO2E+78moTE3tj1233IS1Ml9HsSQsbHBXiJPehpN7uhU8pEN2MiU6tAbZ4e+1osuGcLi3az\nG+sqZ38F0ezOTyYYn8GbaNCKxeVHto5WJBBxiOeQlT2RHWfvne3Hcwc7YPcGcdWicU4+yKyVrVPi\n7osroYoe2UIAACAASURBVFfJ8J/XLJhyeTof4Ln8Idy2vgwf/Ptm/O/Ny4Z9XB+XVRsyqQRGvSqm\nDF7RBdno3DQl5FLu73nFgsT9zPNDVhJdmtVv9yKXAjxCRIMr0Ux8Bq8kS5OwA62pWFuRjUPtFnQN\neeAJhBK+viEZKMATEF/S020d/8TX7PKL7nSDzF3xGrISDrM41mnF5fNzIWEY/OC108jUyLEpUipB\n5pZ//8Q8nPjh5dhSa5zy5xp0ymh/2/XLClFu0I5auRAvBRkqdA6Nv/omHGbRPeQZ1azPMAwe/8JK\n3H9FbUJPipO1JoECPELERZmEDF6H2Z3QxeZTsa4yG95AGE/t53aSzoX9u1SiKSCtUoa8tNEjvXmB\nEDdym0o0iVjwjdiT7fqaqj67F25/CBfPy4FaIcVrx3pw58WVtPduDpvJz9dfbl+Fc/0OLE3w5NVq\nox7v1/eP+3GT0wd/KDyqRBMAttQapxXQzoQyCQGe0xeEyx9CbhpVphAiFtyO28Rl8EJhFp1Dbly2\nIDEDpaZqTXkWGAb4484WSCUMFlCAR6aqIkeL5sgkoQsNRZec0wshEQd+Iao/FIZSJlxWpN3MZT1K\ns7T49PIifHlTxZx4QiXxUZOrj/a1JRI/DdPk9EVL8IfrilRriGXc9vkevMQFeH2RElbK4BEiHkpZ\n/Prrx9Jr8yAQYlGaJc7SxwyNAptrcvBBwyA21+RAo5j94Q8dpwusIkeLlkEnWHb0LjwzH+BRBo+I\nBH/iL3TPToeFO+QoydJAJZdiYWG6KOvyCZnIwsikzyd2t2LAProXrzOy8qEwQxxlSclYdM7/u1CA\nR4h4qORSeBOYwTvTYwcA1OSKdwfmL29cggeurMXPIkvQZzsK8ARWmaODwxuEyekf9bHeyDQ2fr8S\nIcnGZ/CEPunrsLghkzAoyKCfdZK6VpZmIkevxO8+bMZnHt+HUHjkwV00Uy2SvhN+0Xkih6z0O/gA\njypTCBELlSyxaxKOdFghlTDRQzExMuiUuDOyXmcuoABPYBU53OlFy+DoPryOyM1AcaY4bgYI4TN4\nQr8QdFg8KMhQz/pFomR2k0kleOHOddi2KB+tJhdOdFnx7IEOzHvoX3h0+zm0mV3IT1clbOjLZJKR\nweuzcVOjKYNHiHgo5YlbdM6yLN453Ye1FVmieS4kFOAJrjoy0ruh3zHqY+0WN9RyKQw6KtEk4hCv\nEs3uIbdo+pIImYlygxYPX7cAALC70YTf7GiCLxjGY+834pUj3ahOQm/geJIxRbPf7oVeKYNW4D2E\nhJDpS2QG71D7EFpNLlyzuCAh34/EhgI8geWnq5CtVeBkl23Ux452WLGwMI16kYho8INVhJ621Wvz\nIj+dAjwyOxh0StTlp+G/t59Dt9WDx25ZhtXlWQCAjVXiWZibjCEr/XYvcqntgBBRUcolCVmT4A2E\n8JO3ziJLq8B1Swvj/v1I7OjITWAMw2BRUTpOdo8M8Fy+IE5223DXxRVJujJCRlPFoWcnGAqj3+6l\n/jsyq2yel4OzvXakq+W4YkEeNlRm443jPbh5dUmyLy0qGYvOuR141H9HiJio5NKErEn45TsNONFl\nxe8/txxqBZVnigll8OJgcWE6zvU74PAGou871mlFKMxiVVlWEq+MkJGiGTwBT/r6HT6EWaAggzJ4\nZPb49PIiFKSr8NC2OihkEmTrlLhtQ7moek4YhoFCKklwiaaP+u8IERmVjMvgjTXRXUivH+/BVYvy\nccXC/Lh+HzJ1FODFwdrKbIRZYF+LJfq+Y51WAMCy4sxkXRYho/BT94Qcp9wb2Q2WT2VbZBapMurw\n8QNbcePK4mRfyoQUssQFeOEwiwGHd85MpSMkVUQnZMfxuWDI5cegw4elRRlx+x5k+ijAi4MVpZlQ\ny6XY3TgYfd+JLivKsjVI18iTeGWEjBQdsiJgBq87EuBRBo+QxFPIJPCHEjNcweTyIRBiUUjl2ISI\nSrwGqA13LjJMsCZPPIOmyHkU4MWBUibF6vIs7GoyRd93ssuGxXTKQUQmHkNWem3cXizK4BGSeEqZ\nRPC9luPpHqLDHELESBXdcRu/w55ogCfi5eZzGQV4cbKp2oCWQRd6rB7Y3AH02LyYX5CW7MsiZIR4\nDFnptXqgV8mgV1G2mpBEU8oSs//qbK8dp3rsACjAI0Rs4pXB8wVD+P6rJ/Fxswnn+p3Qq2TIox5c\nUaIpmnGysdoAgNubVJrNLTavpTQ2EZnzGTwhSzS9KKAVCYQkhUoe//1X9X12bHtsF8KR+Q0lWZq4\nfj9CyNTwGTyhnwt2N5rw9P4OvHO6DxU5OtTk6mn1l0jNKIPHMEwWwzDbGYZpjPz/mBNEGIa5NfKY\nRoZhbo28T8MwzFsMw9QzDHOaYZj/msm1iM28XD1y9ErsajJFl57X5lEGj4gLP2RFyDKOVpMzeqhB\nCEkspVwKb5wzeG+f6osGdyq5hJacEyIy5wM8YZ8L+BVgJqcfB1otqMmlxIVYzbRE83sA3mdZthrA\n+5G3R2AYJgvADwGsAbAawA+HBYKPsCxbC2AZgA0Mw1w5w+sRDYZhsKnKgD1NJpzosiFDI6ddQUR0\nhC7jCITC6LC4UWmkmnxCkoEbjx7fDN4H9QNYXpKB3352OV66a31cvxchZOrOv7YL+1zQOOAc8fY8\n6r8TrZkGeNcBeDLy5ycBXD/GYz4BYDvLshaWZYcAbAdwBcuybpZlPwAAlmX9AI4AKJrh9YjKxmoD\nLC4/XjrchTXlWZTGJqITXYws0A1hp8WNQIhFZQ496ROSDCq5NK6DFQYcXhzvsmFrXS62Lc7HwsL0\nuH0vQsj0xCuDN2D3YnX5+X3OS4ppeKBYzTTAy2VZtjfy5z4AuWM8phBA57C3uyLvi2IYJgPANeCy\ngLPGlnlGyKVcUHfVIloCScSHYRhBhzI0RU73KnK0gnw9QsjUqOQSwW/qhttxdgAA9/pGCBEnfoCa\n0Nn8AYcPeWkqfOvSGlxSa6Tp8CI2aeE8wzDvAcgb40PfH/4Gy7IswzDsVC+AYRgZgGcBPMaybMsE\nj/sKgK8AQElJyVS/TVJkahV4+o61aDe7cM3igmRfDiFjUsmlggV4DX382GSqyyckGVRyKbwCl2UN\n987pPhRnqVGXT7/jhIhVPAaosSyLfrsXRr0S37i0WrCvS+Jj0gCPZdlLx/sYwzD9DMPksyzbyzBM\nPoCBMR7WDWDzsLeLAHw47O3HATSyLPs/k1zH45HHYuXKlVMOJJNldXnWiHQ2IWKjFLBnp77PgZIs\nDXQ0dIGQpFDJ4jNF0+r246l97figYRB3bCynlgNCRIzP4HkEfC5w+ILwBsIw0jyJlDDTEs3XAdwa\n+fOtAF4b4zHvALicYZjMyHCVyyPvA8MwPwGQDuCbM7wOQsg0KeXClWjW99lpHQghSRSvEs1H3m3A\nI++eg0IqwefXlgr+9QkhwlErhF+TMGD3AQCMetp7lwpmGuD9F4DLGIZpBHBp5G0wDLOSYZg/AQDL\nshYAPwZwMPK/H7Esa2EYpghcmed8AEcYhjnGMMwdM7weQsgUKWVSQSZthcMsOixuVNCAFUKSJl57\n8A61DaEsW4PX792AMgP12BIiZuo47MEbcHgBAEY9ZfBSwYzqqFiWNQPYOsb7DwG4Y9jbTwB44oLH\ndAGgGg9Ckkwpk8AnwIm/zRNAIMQih578CUkafmgSy7KClVGGwyzazC58fk0p7XMlJAXwUzQ9fuEC\nvEFHJINHJZopYaYZPEJIihNqyIrJyT35G3SKGX8tQsj0KOXCD1cYdPrgDYRRSpk7QlKCXCqBXMoI\n2oPHl2jmUIlmSqAAj5A5TqghK4ORAC9HR6d7hCSLKg6lWUNuPwAgW0uHN4SkCpVcKmyA5/BCKZMg\nTUVD1FIBBXiEzHFC7cEzObmbQAOVaBKSNOf3XwmXwbO6AwCADLVcsK9JCIkvtcD9uAMOH4xpSpqg\nmyIowCNkjhNqyIrJwZdoUoBHSLKoZMJn8PgAL11DAR4hqUKtkMItcA8eTdBMHRTgETLHCbUmweT0\nQSph6JSfkCSKlmgKuOzc5uGy8+n0u01IylDLpYIOWRlw+KgFI4VQgEfIHKeSSQWZomly+mDQKSCR\nUPkGIckSjxJNmydSoqmhHjxCUoXgPXh2L03QTCEU4BEyxynlEkFO+01OP5VnEpJkfAbPJ3CJpkzC\nQBtZnkwIET8he/C8gRDs3iDtwEshFOARMscJtQePy+DRkz8hyRTN4Am4JsHqCSBDI6fhCoSkELVC\nmAyeNxBC15AHAFCQoZ7x1yOJQbNOCZnj+CErM12MbHL4UG3UC3hlhJCpUsZhyIrNHaD+O0JSjBA9\neC8c6sT3Xj6Ba5YUAAAqcnRCXBpJAMrgETLHKWUShFkgGGan/TVYluVKNPXUo0NIMsVjD57V46f+\nO0JSjFohnXEv7suHuxBmgdeO9QAAyg1aIS6NJAAFeITMcdGenRmUdNm9QfhDYZqwRUiS8SWaQpRd\n82weyuARkmrUMxyy4vYHcaRjCDW5XNauJldHzwMphEo0CZnjlNGpeyHolNN7SjA5aQceIWIQjzUJ\nVneAyq8JSTFqxcxKNA+0WhAIsXho23yYXT4sLEgX8OpIvFGAR8gcp5RFTvynmMFz+YL4/qsnsak6\nB/kZ3PJTGqFMSHLFo0STMniEpB5+TcJ0++v3NJmgkEmwujwr+rxCUgeVaBIyx/FDGaY6Vv2lw134\nx7EefOfF4zjZZQMA5KWpBL8+QkjsVDJh9+CFwiwc3iDSKMAjJKWoZ9h+savRhJWlmRTcpSgK8AiZ\n46abwdvVaIr++U+7WwEAeekU4BGSTDKpBDIJI1gGz+HllpxTBo+Q1KKOtF9Mp0yz0+JGfZ8Dm+fl\nCH1ZJEEowCNkjpvukJWzvXZcs6QAtXl6DDp8yNDIoVFQ1TchyaaUSQTL4Nk9QQAU4BGSatQK7rV9\nqoNWPP4Q7nvpBGQSBlctyo/HpZEEoACPkDkumsGbwouAzRNAt9WDunw9rl3K7ceppP04hIiCSi4V\nbMiKzUMZPEJSEX94O9UA7+n97djbYsZ/fXoxijI18bg0kgB03E7IHBedojmFDF5DnwMAUJeXhsVF\n6djZMIivXFQRl+sjhEyNSi4VrESTAjxCUhPfgzfVEs09TSZUG3W4YUVRPC6LJAgFeITMcdMZstLQ\nzwV48/L0yNYp8fyd6+JybYSQqVPJJYLtwaMAj5DUNN0SzTO9dmyoNMTjkkgCUYkmIXPcdIasNPTZ\noVfJkE9DVQgRHbViZguOh7PTkBVCUtJ0MnjBUBj9dh9Ksqk0M9VRgEfIHDedISune+yozdNPa7cO\nISS+1PKZLTgezuLyAwAyNBTgEZJKppPB4zP2mRpFXK6JJA4FeITMceczeLG9CNi9AZzosmFNeXY8\nL4sQMk38gmMh9Nu9SFfLaRcWISmGz+BNpR/XGgnw6EAn9VGAR8gcx/fgxTpWfW+zGaEwi43VVKNP\niBipBRyyMmD3wahXCvK1CCGJE83gTSGbb3VTSfZsQQEeIXMcP0Uz1gzegVYLlDIJlpdkxvOyCCHT\npBGwB6/f4YUxjQI8QlKNehprEqxuriSbSjRTHwV4hMxxCim/By+2DN7h9iEsKcqAQkZPH4SIkVoh\nhVuAHjyWZdFmcqGYdmERknKmswePz+BRiWbqozUJhMxxEgkDhVQS05AVlmVxrt+Bm1YWJ+DKCCHT\noZJL4Z1hgPdB/QB2nhvEkDuAmly9QFdGCEkUpUwChsGUnguiPXhqyuClOgrwCCFQyiUxlWgOuQNw\n+0MoyaITfULESj3DISssy+KrTx+Jfo2LanKEujRCSIIwDDPl5wKr2w8JA+hVFB6kOvovSAiBUiaN\nachK15AbAFCYqY73JRFCpkmjkCIYZhEIhSGXTr2UutvqgScQwqV1Rly7tBBVRl0crpIQEm9TD/AC\nSFfLIZHQCqRURwEeIQRKWWwZvO4hDwCgiAI8QkSL771x+0NIV089wGvocwAA7t5ciRWlWYJeGyEk\ncVRyKTz+2HfcWj0BZNCAlVmBpiQQQiIlmrFk8PgAj0o0CRErfjz6dFcl1EcCPOq9IyS1qRVTW5li\ndftpRcIsQQEeIQRKmTSmKZpdQ27oVTJ6ASBExKLj0ac5aKW+z4HCDDX0Kvo9JySVTadEM5MmaM4K\nFOARQqCKcchK15CHsneEiJxGMfXx6MM19NlRm0fZO0JSnVoundqic4+fSjRnCQrwCCFcD15MGTwP\n9d8RInLT2X/F8wfDaBl0YR4FeISkPLViekNWSOqjAI8QwpVoTpLBY1kWXUNuFGZQgEeImM2kRLN5\n0IlgmKUAj5BZYCoZvGAoDIc3SEvOZwkK8AghkSmaE2fwLC4/XLQDjxDR44esTCfAO9NjBwDU5qUJ\nek2EkMSbSgbPFllynkklmrMCBXiEECjl0kkDvM7IBE0K8AgRt5n04B3tHIJOKaPdd4TMAqopDFmx\nRgI8yuDNDhTgEUKgkkngm+RFoMPCLTkvpgCPEFGbbg9eu9mFlw9346IaA6S06JiQlKeWS+GNMZNv\ndfsBgHrwZgkK8AghUMol8E6WwYsGeNSDR4iYTbcH73/ea4RUwuA/rp4fj8sihCSYWiGJPYPnphLN\n2YQCPEJIZA/eyBcBlmVxqM0CW+RJv9PihkGngEYhS8YlEkJipJ5GiWY4zGL7mX5sW5SP/HQ6xCFk\nNlDLpQiGWQRCk0/J5gM8KtGcHSjAI4SMOWTlT7taccMf9uKLT+wHy7LosLipPJOQFKCSTT2D12Pz\nwOkLYnFxerwuixCSYHy5tjuG54JoD56aMnizAQV4hBAoZdwpXzByyseyLJ7Y0woAON5lQ+OAE+1m\nN4ppyTkhoieRMFDJJfBOIYPXNOAEAFTl0HAVQmYLrZKruHH7g5M+1ur2Q8IAehVV6cwGFOARQqCS\nc08F/kiA1252o9fmxb2XVAEA3j3dh26rB5V080dISlBPYXoeAAw4fACAAtpzSciswQd4Ll8sAV4A\naWo5JDRgaVagAI8QAqWMeyrwBrgA70CrBQBw3dIClGZr8PT+DgDAvDwK8AhJBWq5NKayLB4/QY/6\nbwiZPXRKrkTT6Zv8ucDi8iNLS+WZswUFeIQQKCN1+r4g9yJwsM2CTI0clTk6rCnPQq/NCwCoztUn\n7RoJIbGbyoJjABhyByCTMNApqTyLkNlCp+QObGLJ4JmcPmRTgDdrUIBHCBmVwTvcMYQVpZlgGAZr\nyrOjjyulISuEpAS1Ivb9VwBXnpWhkYNhqDyLkNlCG8ngObyTB3gWlx/ZWmW8L4kkCAV4hBDoVdwp\nn8MbgMnpQ8ugC8tKMgEAG6oM0Cik+OSyQsik9JRBSCqYag+e1e1HBu2/ImRW0U2hB8/i8iNLR88B\nswXVYhBCkBaZmmX3BHG8sxcA8P/bu/fguMrzjuO/R5fV3ZIsgyzZYGNssGkSzETjDDQpl5hL0ik4\nbVqcaQanSZqmLfmjTNqE8kfaNG0ZZjr0v7SESULaDrQlzcS51TG3SafFAbcDBEywjbHBsmywLNmW\nV3c9/eOcXY7llbVipT3o3e9nZkd73nOO/OrR66N9zns5119+oSRpeWu9nvrT61g6GVhE6muri7pr\nnzOQHVM78++AoOQXWZllFc2pKddAdowhmgHhdjwAtcYf7E6NjOu7/9eryztbdEX3kvz+C1vqlanh\ncgEsFg211XN6TMJgdlyt3MQBgpLrwRuapQev/8yYplxa1swQzVDwiQ2AlsRDNPe/OaTn3hjUlqtW\npFwjAKVonOMiK4PZcXrwgMDU1VSppsrOGaI5OeVnbfcODkuSVvCYlGCQ4AHQkobog93/vHpcktSz\nuj3N6gAoUUOmWsNzWGRlIDumdoZnAUExMzXV1WgoMVz7Gz87oCv/8qc68NZQvuzwQFaStKKdBC8U\nJHgA1JSpVnWVadeBEzKTNnQtmf0kAO9a9bXFJ3gj45ManZhSawM9eEBomutqznoO3sPPvK6h0Qn9\n50tH82W9A3EPHgleMEjwAMjM8gutrO5o4llYwCI3l1U0B+KHnLeziiYQnKa66vwQzZHxSR06EfXW\nvfDGyfwxrx0/o/bG2vx0DSx+JHgAJEkd8eTqK+i9Axa9xky1JqZc45NTsx47mB2XJObgAQFqqqvJ\nr6J5ZHA4P//uxSNvJ3gvHz2t9cv52x8SEjwAkqSl8fybDV0tKdcEQKnqa6MHHBfTi5frwWslwQOC\n01xXk39kSt/JEUnSh9Yt0+GBYZ0aGdfUlGvv0dNaz9/+oJSU4JnZUjPbaWb74q8FV2Yws23xMfvM\nbFuB/dvN7MVS6gKgNFev6Yi+XtqRck0AlKohEyV4I0XMw3u7B48hmkBomutq8kM0c6tlbt7QKUn6\nZd9pvfrWkIbHJ5l7H5hSe/C+LOlxd18n6fF4+yxmtlTSVyR9QNImSV9JJoJm9puShqafB6C87rxh\nrX74hQ/q/auWpl0VACVqiHvwsiR4QEVrSiR4fYNRD94N6y+UJL3cd0q7XjshSdq0mr/9ISk1wbtN\n0kPx+4ckbSlwzM2Sdrr7CXcfkLRT0i2SZGbNku6S9LUS6wGgRLXVVXrPita0qwFgHjRm5j5Es40h\nmkBwzh6iOaxlzXVa2d6gjqaMdh8a0I9eOKIVbQ1a1dGYck0xn0pdKq/T3fvi90cldRY4ZoWkNxLb\nh+MySforSX8nKVtiPQAAQGwuc/AGs2Oqr63KnwMgHO2NGZ0endD45JR6B4fV3VYvM9Ovv69L33n6\nkCTpzz+6XmaWck0xn2ZN8MzsMUnLC+y6J7nh7m5mXuw/bGYbJV3q7n9iZquLOP5zkj4nSRdffHGx\n/wwAABUnN0Sz2Dl4bQ0MzwRC1N4U9cwPZsfVd3JEay9oliT92S3rdVF7oy5oqdOtV3anWUUsgFkT\nPHffPNM+MztmZl3u3mdmXZLeLHBYr6TrEtsrJT0l6WpJPWZ2MK7HhWb2lLtfpwLc/QFJD0hST09P\n0YkkAACVJrfISjFz8Aay4wzPBALVFs+tHcyOqW9wWB9at0xSNHTz939tTZpVwwIqdQ7edkm5VTG3\nSfp+gWN2SLrJzNrjxVVukrTD3b/u7t3uvlrSByXtnSm5AwAAxZvLHLzB7BgLrACByj3f8lB/VmfG\nJtXd2pByjVAOpSZ490q60cz2Sdocb8vMeszsQUly9xOK5to9G7++GpcBAIAFMKc5eMP04AGhyt28\n2dN3SpLU1VafZnVQJiUtsuLu/ZI+XKB8t6TPJra/Kemb5/k+ByW9p5S6AACASH4OXpE9eG304AFB\nyt28eenISUlSFz14FaHUHjwAAPAuk5uDN5yYg+fuGp04O+GbmnINZMfzw7gAhCXXg/dib9SDd1E7\nCV4lIMEDACAw9TXnLrLyNz9+WT1fe0x9J4fzZadGxjU55VraRA8eEKLGTLWaMtXqHRxWpqZKy5rr\n0q4SyoAEDwCAwFRVmeprq/JDNN1d3/iv13R6ZEI/eP5I/rj+M9FDzjuaSfCAEJmZVrZHDzFf2dag\nqiqed1cJSPAAAAhQQ211fpGVt06P5st/tvd4/v2JOMFb2sRdfSBUK+NhmRd3NKZcE5QLCR4AAAFq\nqK3Oz8E7cPyMJOnyzhY9c/BEvrx/KO7BY4gmEKy1ndHDzTd0LUm5JigXEjwAAAJUn6lWNu7BOxgn\neHdcs0pjE1N65mD0tKK3e/BI8IBQ3XH1at10Rad+9wMXp10VlAkJHgAAAWrMVGsk7qk7dioaovkb\nV3YrU1Olf9l1SJNTrqMnh1Vl0gUtDNEEQrWirUEP3NGTn4uH8JHgAQAQoOQcvP4zo2prrNWS+lrd\ndeNl+umeY7pvxy/1xsCwulobVFvNxwEACEVJDzoHAADvTvW11RoanZAkHR8azc+z+/y1l2rvsdP6\n1n8fVHdrvVbwXCwACAq37AAACFBykZXjp8fOev7Vndev1djElA72Z7VheUtaVQQALAASPAAAAtSY\neXuI5vEzo2cleGsuaNbNv9IpSdp8RWcq9QMALAyGaAIAEKCGTLIHb1TL1p69Uub9t29U78Cw1nXS\ngwcAIaEHDwCAANXHQzTHJqZ0amRCHc1nr5TZmKkhuQOAAJHgAQAQoJa6Gg2NTej4UPSIhGXNPAoB\nACoBCR4AAAFqqa+Vu/T6iawkHmYOAJWCBA8AgAA110fT7A/1n5EkdTST4AFAJSDBAwAgQC35BI8e\nPACoJCR4AAAEqKW+VpJ0KDdEs5EEDwAqAQkeAAAByvXgvd6fVZVJrQ21KdcIAFAOJHgAAARoSWIO\nXntjRlVVlnKNAADlQIIHAECAckM0T41MqJ35dwBQMUjwAAAIUHNdTf498+8AoHKQ4AEAEKDGTLVq\n4mGZ7U3MvwOASkGCBwBAgMxMy1vrJUldrQ0p1wYAUC4keAAABGpJPA+vu60+5ZoAAMqFBA8AgEC1\nNUYJ3pplzSnXBABQLiR4AAAE6u6PbNCWjd26Zm1H2lUBAJRJzeyHAACAxei9K1v191uvSrsaAIAy\nogcPAAAAAAJBggcAAAAAgSDBAwAAAIBAkOABAAAAQCBI8AAAAAAgECR4AAAAABAIEjwAAAAACAQJ\nHgAAAAAEggQPAAAAAAJBggcAAAAAgSDBAwAAAIBAkOABAAAAQCBI8AAAAAAgECR4AAAAABAIEjwA\nAAAACAQJHgAAAAAEggQPAAAAAAJBggcAAAAAgTB3T7sOc2Zmb0k6lHY9ArVM0vG0K1GhiH16iH16\niH16iH26iH96iH16iP38WuXuF0wvXJQJHhaOme12956061GJiH16iH16iH16iH26iH96iH16iH15\nMEQTAAAAAAJBggcAAAAAgSDBw3QPpF2BCkbs00Ps00Ps00Ps00X800Ps00Psy4A5eAAAAAAQCHrw\nAAAAACAQJHgVyMx+28xeMrMpM5txJSMzu8XMXjGz/Wb25UT5JWb287j8X80sU56aL35mttTMdprZ\nWp8X/AAABdVJREFUvvhre4Fjrjez5xKvETPbEu/7tpm9lti3sfw/xeJUTOzj4yYT8d2eKKfdv0NF\ntvuNZvZ0fG16wcxuT+yj3c/RTNfvxP66uB3vj9v16sS+u+PyV8zs5nLWOwRFxP4uM9sTt/PHzWxV\nYl/B6w+KU0TsP2VmbyVi/NnEvm3xNWqfmW0rb80XvyJif38i7nvNbDCxj3Y/zxiiWYHMbIOkKUn/\nKOmL7r67wDHVkvZKulHSYUnPSvqEu+8xs3+T9B/u/oiZ/YOk59396+X7CRYvM7tP0gl3vze+ALa7\n+5fOc/xSSfslrXT3rJl9W9IP3f3R8tQ4HMXG3syG3L25QDnt/h0qJvZmdpkkd/d9ZtYt6X8lbXD3\nQdr93Jzv+p045o8kvc/dP29mWyV9zN1vN7MrJD0saZOkbkmPSbrM3SfL/XMsRkXG/npJP4+v6X8o\n6Tp3vz3eV/D6g9kVGftPSepx9zunnbtU0m5JPZJc0fXn/e4+UJ7aL27FxH7a8V+QdJW7fzrept3P\nM3rwKpC7v+zur8xy2CZJ+939gLuPSXpE0m1mZpJukJT7oPWQpC0LV9vg3KYoZlJxsfu4pJ+4e3ZB\na1UZ5hr7PNp9yWaNvbvvdfd98fsjkt6UdM7DW1GUgtfvacckfyePSvpw3M5vk/SIu4+6+2uKbjBt\nKlO9QzBr7N39ycQ1fZeklWWuY6iKafczuVnSTnc/ESd1OyXdskD1DNFcY/8JRTeSsEBI8DCTFZLe\nSGwfjss6JA26+8S0chSn09374vdHJXXOcvxWnXsR/Ot4aM/9ZlY37zUMV7Gxrzez3Wa2y+KhsaLd\nl2pO7d7MNknKSHo1UUy7L95M1++Cx8Tt+qSidl7MuZjZXOP3GUk/SWwXuv6gOMXG/rfia8mjZnbR\nHM9FYUXHLx6SfImkJxLFtPt5VpN2BbAwzOwxScsL7LrH3b9f7vpUkvPFPrnh7m5mM46RNrMuSe+V\ntCNRfLeiD8gZRUsNf0nSV0utcyjmKfar3L3XzNZIesLMfqHowy/OY57b/T9J2ubuU3Ex7R7BMbNP\nKhoSeG2i+Jzrj7u/Wvg74B34gaSH3X3UzP5AUS/2DSnXqdJslfTotGHftPt5RoIXKHffXOK36JV0\nUWJ7ZVzWL6nNzGriu765csTOF3szO2ZmXe7eF3+QffM83+p3JH3P3ccT3zvXCzJqZt+S9MV5qXQg\n5iP27t4bfz1gZk9JukrSd0W7P6/5iL2ZLZH0I0U3onYlvjftfm5mun4XOuawmdVIalV0fS/mXMys\nqPiZ2WZFNz+udffRXPkM1x8+6BZn1ti7e39i80FJ9yXOvW7auU/New3DNZfrxlZJf5wsoN3PP4Zo\nYibPSlpn0cqBGUX/Ibd7tCrPk4rmhknSNkn0CBZvu6KYSbPH7pwx6vGH49ycsC2SXlyAOoZq1tib\nWXtu+J+ZLZP0q5L20O5LVkzsM5K+J+k70xdTod3PWcHr97Rjkr+Tj0t6Im7n2yVttWiVzUskrZP0\nTJnqHYJZY29mVyla5OxWd38zUV7w+lO2mi9+xcS+K7F5q6SX4/c7JN0U/w7aJd2ks0fP4PyKuebI\nzNZLapf0dKKMdr8Q3J1Xhb0kfUzR+OhRScck7YjLuyX9OHHcRxWtivSqojvqufI1iv7g75f075Lq\n0v6ZFstL0RyXxyXtU7Q63dK4vEfSg4njViu6+1U17fwnJP1C0Qfcf5bUnPbPtFhexcRe0jVxfJ+P\nv34mcT7tfmFj/0lJ45KeS7w2xvto93OP+TnXb0XDWm+N39fH7Xh/3K7XJM69Jz7vFUkfSftnWWyv\nImL/WPy3N9fOt8flM15/eM1b7P9W0ktxjJ+UtD5x7qfj/w/7Jf1e2j/LYnvNFvt4+y8k3TvtPNr9\nArx4TAIAAAAABIIhmgAAAAAQCBI8AAAAAAgECR4AAAAABIIEDwAAAAACQYIHAAAAAIEgwQMAAACA\nQJDgAQAAAEAgSPAAAAAAIBD/D9tpeyFv8nV4AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RoVJ7Wnmoqz0",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PE_5S7yyorWD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cpnodFEjofj7",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}